Basic Math Examples

$a^{3} s w^{4} e r^{6} \cdot (7 t^{8} y^{9}) \cdot (0 h n f g d w q^{3} w a^{4} s^{5}) \cdot (6789 i o b v c d f r t) \cdot f^{6} \cdot (78 i o k l j)$

Step 1

Multiply $a^{3}$ by $a^{4}$ by adding the exponents.

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Step 1.1

Move $a^{4}$ .

$a^{4} a^{3} s w^{4} e r^{6} \cdot (7 t^{8} y^{9}) \cdot (0 h n f g d w q^{3} w s^{5}) \cdot (6789 i o b v c d f r t) \cdot f^{6} \cdot (78 i o k l j)$

Step 1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$a^{4 + 3} s w^{4} e r^{6} \cdot (7 t^{8} y^{9}) \cdot (0 h n f g d w q^{3} w s^{5}) \cdot (6789 i o b v c d f r t) \cdot f^{6} \cdot (78 i o k l j)$

Step 1.3

Add $4$ and $3$ .

$a^{7} s w^{4} e r^{6} \cdot (7 t^{8} y^{9}) \cdot (0 h n f g d w q^{3} w s^{5}) \cdot (6789 i o b v c d f r t) \cdot f^{6} \cdot (78 i o k l j)$

Step 2

Multiply $s$ by $s^{5}$ by adding the exponents.

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Step 2.1

Move $s^{5}$ .

$a^{7} (s^{5} s) w^{4} e r^{6} \cdot (7 t^{8} y^{9}) \cdot (0 h n f g d w q^{3} w) \cdot (6789 i o b v c d f r t) \cdot f^{6} \cdot (78 i o k l j)$

Step 2.2

Multiply $s^{5}$ by $s$ .

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Step 2.2.1

Raise $s$ to the power of $1$ .

$a^{7} (s^{5} s^{1}) w^{4} e r^{6} \cdot (7 t^{8} y^{9}) \cdot (0 h n f g d w q^{3} w) \cdot (6789 i o b v c d f r t) \cdot f^{6} \cdot (78 i o k l j)$

Step 2.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$a^{7} s^{5 + 1} w^{4} e r^{6} \cdot (7 t^{8} y^{9}) \cdot (0 h n f g d w q^{3} w) \cdot (6789 i o b v c d f r t) \cdot f^{6} \cdot (78 i o k l j)$

Step 2.3

Add $5$ and $1$ .

$a^{7} s^{6} w^{4} e r^{6} \cdot (7 t^{8} y^{9}) \cdot (0 h n f g d w q^{3} w) \cdot (6789 i o b v c d f r t) \cdot f^{6} \cdot (78 i o k l j)$

Step 3

Multiply $w^{4}$ by $w$ by adding the exponents.

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Step 3.1

Move $w$ .

$a^{7} s^{6} (w \cdot w^{4}) e r^{6} \cdot (7 t^{8} y^{9}) \cdot (0 h n f g d q^{3} w) \cdot (6789 i o b v c d f r t) \cdot f^{6} \cdot (78 i o k l j)$

Step 3.2

Multiply $w$ by $w^{4}$ .

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Step 3.2.1

Raise $w$ to the power of $1$ .

$a^{7} s^{6} (w^{1} w^{4}) e r^{6} \cdot (7 t^{8} y^{9}) \cdot (0 h n f g d q^{3} w) \cdot (6789 i o b v c d f r t) \cdot f^{6} \cdot (78 i o k l j)$

Step 3.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$a^{7} s^{6} w^{1 + 4} e r^{6} \cdot (7 t^{8} y^{9}) \cdot (0 h n f g d q^{3} w) \cdot (6789 i o b v c d f r t) \cdot f^{6} \cdot (78 i o k l j)$

Step 3.3

Add $1$ and $4$ .

$a^{7} s^{6} w^{5} e r^{6} \cdot (7 t^{8} y^{9}) \cdot (0 h n f g d q^{3} w) \cdot (6789 i o b v c d f r t) \cdot f^{6} \cdot (78 i o k l j)$

Step 4

Multiply $w^{5}$ by $w$ by adding the exponents.

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Step 4.1

Move $w$ .

$a^{7} s^{6} (w \cdot w^{5}) e r^{6} \cdot (7 t^{8} y^{9}) \cdot (0 h n f g d q^{3}) \cdot (6789 i o b v c d f r t) \cdot f^{6} \cdot (78 i o k l j)$

Step 4.2

Multiply $w$ by $w^{5}$ .

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Step 4.2.1

Raise $w$ to the power of $1$ .

$a^{7} s^{6} (w^{1} w^{5}) e r^{6} \cdot (7 t^{8} y^{9}) \cdot (0 h n f g d q^{3}) \cdot (6789 i o b v c d f r t) \cdot f^{6} \cdot (78 i o k l j)$

Step 4.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$a^{7} s^{6} w^{1 + 5} e r^{6} \cdot (7 t^{8} y^{9}) \cdot (0 h n f g d q^{3}) \cdot (6789 i o b v c d f r t) \cdot f^{6} \cdot (78 i o k l j)$

Step 4.3

Add $1$ and $5$ .

$a^{7} s^{6} w^{6} e r^{6} \cdot (7 t^{8} y^{9}) \cdot (0 h n f g d q^{3}) \cdot (6789 i o b v c d f r t) \cdot f^{6} \cdot (78 i o k l j)$

Step 5

Multiply $r^{6}$ by $r$ by adding the exponents.

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Step 5.1

Move $r$ .

$a^{7} s^{6} w^{6} e (r \cdot r^{6}) \cdot (7 t^{8} y^{9}) \cdot (0 h n f g d q^{3}) \cdot (6789 i o b v c d f t) \cdot f^{6} \cdot (78 i o k l j)$

Step 5.2

Multiply $r$ by $r^{6}$ .

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Step 5.2.1

Raise $r$ to the power of $1$ .

$a^{7} s^{6} w^{6} e (r^{1} r^{6}) \cdot (7 t^{8} y^{9}) \cdot (0 h n f g d q^{3}) \cdot (6789 i o b v c d f t) \cdot f^{6} \cdot (78 i o k l j)$

Step 5.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$a^{7} s^{6} w^{6} e r^{1 + 6} \cdot (7 t^{8} y^{9}) \cdot (0 h n f g d q^{3}) \cdot (6789 i o b v c d f t) \cdot f^{6} \cdot (78 i o k l j)$

Step 5.3

Add $1$ and $6$ .

$a^{7} s^{6} w^{6} e r^{7} \cdot (7 t^{8} y^{9}) \cdot (0 h n f g d q^{3}) \cdot (6789 i o b v c d f t) \cdot f^{6} \cdot (78 i o k l j)$

Step 6

Multiply $t^{8}$ by $t$ by adding the exponents.

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Step 6.1

Move $t$ .

$a^{7} s^{6} w^{6} e r^{7} \cdot (7 (t \cdot t^{8}) y^{9}) \cdot (0 h n f g d q^{3}) \cdot (6789 i o b v c d f) \cdot f^{6} \cdot (78 i o k l j)$

Step 6.2

Multiply $t$ by $t^{8}$ .

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Step 6.2.1

Raise $t$ to the power of $1$ .

$a^{7} s^{6} w^{6} e r^{7} \cdot (7 (t^{1} t^{8}) y^{9}) \cdot (0 h n f g d q^{3}) \cdot (6789 i o b v c d f) \cdot f^{6} \cdot (78 i o k l j)$

Step 6.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$a^{7} s^{6} w^{6} e r^{7} \cdot (7 t^{1 + 8} y^{9}) \cdot (0 h n f g d q^{3}) \cdot (6789 i o b v c d f) \cdot f^{6} \cdot (78 i o k l j)$

Step 6.3

Add $1$ and $8$ .

$a^{7} s^{6} w^{6} e r^{7} \cdot (7 t^{9} y^{9}) \cdot (0 h n f g d q^{3}) \cdot (6789 i o b v c d f) \cdot f^{6} \cdot (78 i o k l j)$

Step 7

Multiply $f$ by $f$ by adding the exponents.

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Step 7.1

Move $f$ .

$a^{7} s^{6} w^{6} e r^{7} \cdot (7 t^{9} y^{9}) \cdot (0 h n (f \cdot f) g d q^{3}) \cdot (6789 i o b v c d) \cdot f^{6} \cdot (78 i o k l j)$

Step 7.2

Multiply $f$ by $f$ .

$a^{7} s^{6} w^{6} e r^{7} \cdot (7 t^{9} y^{9}) \cdot (0 h n f^{2} g d q^{3}) \cdot (6789 i o b v c d) \cdot f^{6} \cdot (78 i o k l j)$

Step 8

Multiply $f^{2}$ by $f^{6}$ by adding the exponents.

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Step 8.1

Move $f^{6}$ .

$a^{7} s^{6} w^{6} e r^{7} \cdot (7 t^{9} y^{9}) \cdot (0 h n (f^{6} f^{2}) g d q^{3}) \cdot (6789 i o b v c d) \cdot (78 i o k l j)$

Step 8.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$a^{7} s^{6} w^{6} e r^{7} \cdot (7 t^{9} y^{9}) \cdot (0 h n f^{6 + 2} g d q^{3}) \cdot (6789 i o b v c d) \cdot (78 i o k l j)$

Step 8.3

Add $6$ and $2$ .

$a^{7} s^{6} w^{6} e r^{7} \cdot (7 t^{9} y^{9}) \cdot (0 h n f^{8} g d q^{3}) \cdot (6789 i o b v c d) \cdot (78 i o k l j)$

Step 9

Multiply $d$ by $d$ by adding the exponents.

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Step 9.1

Move $d$ .

$a^{7} s^{6} w^{6} e r^{7} \cdot (7 t^{9} y^{9}) \cdot (0 h n f^{8} g (d \cdot d) q^{3}) \cdot (6789 i o b v c) \cdot (78 i o k l j)$

Step 9.2

Multiply $d$ by $d$ .

$a^{7} s^{6} w^{6} e r^{7} \cdot (7 t^{9} y^{9}) \cdot (0 h n f^{8} g d^{2} q^{3}) \cdot (6789 i o b v c) \cdot (78 i o k l j)$

Step 10

Multiply $o$ by $o$ by adding the exponents.

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Step 10.1

Move $o$ .

$a^{7} s^{6} w^{6} e r^{7} \cdot (7 t^{9} y^{9}) \cdot (0 h n f^{8} g d^{2} q^{3}) \cdot (6789 i (o \cdot o) b v c) \cdot (78 i k l j)$

Step 10.2

Multiply $o$ by $o$ .

$a^{7} s^{6} w^{6} e r^{7} \cdot (7 t^{9} y^{9}) \cdot (0 h n f^{8} g d^{2} q^{3}) \cdot (6789 i o^{2} b v c) \cdot (78 i k l j)$

Step 11

Move $7$ to the left of $a^{7} s^{6} w^{6} e r^{7}$ .

$7 \cdot (a^{7} s^{6} w^{6} e r^{7}) t^{9} y^{9} \cdot (0 h n f^{8} g d^{2} q^{3}) \cdot (6789 i o^{2} b v c) \cdot (78 i k l j)$

Step 12

Multiply $0$ by $h$ .

$7 a^{7} s^{6} w^{6} e r^{7} t^{9} y^{9} \cdot (0 n f^{8} g d^{2} q^{3}) \cdot (6789 i o^{2} b v c) \cdot (78 i k l j)$

Step 13

Multiply $0$ by $n$ .

$7 a^{7} s^{6} w^{6} e r^{7} t^{9} y^{9} \cdot (0 f^{8} g d^{2} q^{3}) \cdot (6789 i o^{2} b v c) \cdot (78 i k l j)$

Step 14

Multiply $0$ by $f^{8}$ .

$7 a^{7} s^{6} w^{6} e r^{7} t^{9} y^{9} \cdot (0 g d^{2} q^{3}) \cdot (6789 i o^{2} b v c) \cdot (78 i k l j)$

Step 15

Multiply $0$ by $g$ .

$7 a^{7} s^{6} w^{6} e r^{7} t^{9} y^{9} \cdot (0 d^{2} q^{3}) \cdot (6789 i o^{2} b v c) \cdot (78 i k l j)$

Step 16

Multiply $0$ by $d^{2}$ .

$7 a^{7} s^{6} w^{6} e r^{7} t^{9} y^{9} \cdot (0 q^{3}) \cdot (6789 i o^{2} b v c) \cdot (78 i k l j)$

Step 17

Multiply $0$ by $q^{3}$ .

$7 a^{7} s^{6} w^{6} e r^{7} t^{9} y^{9} \cdot 0 \cdot (6789 i o^{2} b v c) \cdot (78 i k l j)$

Step 18

Multiply $7 a^{7} s^{6} w^{6} e r^{7} t^{9} y^{9} \cdot 0$ .

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Step 18.1

Multiply $0$ by $7$ .

$0 a^{7} s^{6} w^{6} e r^{7} t^{9} y^{9} \cdot (6789 i o^{2} b v c) \cdot (78 i k l j)$

Step 18.2

Multiply $0$ by $a^{7}$ .

$0 s^{6} w^{6} e r^{7} t^{9} y^{9} \cdot (6789 i o^{2} b v c) \cdot (78 i k l j)$

Step 18.3

Multiply $0$ by $s^{6}$ .

$0 w^{6} e r^{7} t^{9} y^{9} \cdot (6789 i o^{2} b v c) \cdot (78 i k l j)$

Step 18.4

Multiply $0$ by $w^{6}$ .

$0 e r^{7} t^{9} y^{9} \cdot (6789 i o^{2} b v c) \cdot (78 i k l j)$

Step 18.5

Multiply $0$ by $e$ .

$0 r^{7} t^{9} y^{9} \cdot (6789 i o^{2} b v c) \cdot (78 i k l j)$

Step 18.6

Multiply $0$ by $r^{7}$ .

$0 t^{9} y^{9} \cdot (6789 i o^{2} b v c) \cdot (78 i k l j)$

Step 18.7

Multiply $0$ by $t^{9}$ .

$0 y^{9} \cdot (6789 i o^{2} b v c) \cdot (78 i k l j)$

Step 18.8

Multiply $0$ by $y^{9}$ .

$0 \cdot (6789 i o^{2} b v c) \cdot (78 i k l j)$

Step 19

Multiply $0 (6789 i o^{2} b v c)$ .

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Step 19.1

Multiply $6789$ by $0$ .

$0 (i o^{2} b v c) \cdot (78 i k l j)$

Step 19.2

Multiply $o^{2}$ by $0$ .

$0 (i b v c) \cdot (78 i k l j)$

Step 19.3

Multiply $b$ by $0$ .

$0 (i v c) \cdot (78 i k l j)$

Step 19.4

Multiply $v$ by $0$ .

$0 (i c) \cdot (78 i k l j)$

Step 19.5

Multiply $c$ by $0$ .

$0 i \cdot (78 i k l j)$

Step 20

Multiply $0$ by $i$ .

$0 \cdot (78 i k l j)$

Step 21

Multiply $0 (78 i k l j)$ .

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Step 21.1

Multiply $78$ by $0$ .

$0 (i k l j)$

Step 21.2

Multiply $k$ by $0$ .

$0 (i l j)$

Step 21.3

Multiply $l$ by $0$ .

$0 (i j)$

Step 21.4

Multiply $j$ by $0$ .

$0 i$

Step 22

Multiply $0$ by $i$ .

$0$