Basic Math Examples

$v^{0} \cdot (7 f \cdot f \cdot f t^{7}) \cdot 8900987890 - 987890 o i k j m i^{8} \cdot (9 i k i^{8} k i^{8} i k i^{8} i k)$

Step 1

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

Tap for more steps...

Step 1.1

Move $f$ .

$v^{0} \cdot (7 (f \cdot f) f t^{7}) \cdot 8900987890 - 987890 o i k j m i^{8} \cdot (9 i k i^{8} k i^{8} i k i^{8} i k)$

Step 1.2

Multiply $f$ by $f$ .

$v^{0} \cdot (7 f^{2} f t^{7}) \cdot 8900987890 - 987890 o i k j m i^{8} \cdot (9 i k i^{8} k i^{8} i k i^{8} i k)$

Step 2

Simplify $v^{0} \cdot (7 f^{2} f t^{7}) \cdot 8900987890$ .

$7 f^{2} f t^{7} \cdot 8900987890 - 987890 o i k j m i^{8} \cdot (9 i k i^{8} k i^{8} i k i^{8} i k)$

Step 3

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

Tap for more steps...

Step 3.1

Move $f$ .

$7 (f \cdot f^{2}) t^{7} \cdot 8900987890 - 987890 o i k j m i^{8} \cdot (9 i k i^{8} k i^{8} i k i^{8} i k)$

Step 3.2

Multiply $f$ by $f^{2}$ .

Tap for more steps...

Step 3.2.1

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

$7 (f^{1} f^{2}) t^{7} \cdot 8900987890 - 987890 o i k j m i^{8} \cdot (9 i k i^{8} k i^{8} i k i^{8} i k)$

Step 3.2.2

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

$7 f^{1 + 2} t^{7} \cdot 8900987890 - 987890 o i k j m i^{8} \cdot (9 i k i^{8} k i^{8} i k i^{8} i k)$

Step 3.3

Add $1$ and $2$ .

$7 f^{3} t^{7} \cdot 8900987890 - 987890 o i k j m i^{8} \cdot (9 i k i^{8} k i^{8} i k i^{8} i k)$

Step 4

Multiply $8900987890$ by $7$ .

$62306915230 f^{3} t^{7} - 987890 o i k j m i^{8} \cdot (9 i k i^{8} k i^{8} i k i^{8} i k)$

Step 5

Multiply $k$ by $k$ by adding the exponents.

Tap for more steps...

Step 5.1

Move $k$ .

$62306915230 f^{3} t^{7} - 987890 o i (k \cdot k) j m i^{8} \cdot (9 i i^{8} k i^{8} i k i^{8} i k)$

Step 5.2

Multiply $k$ by $k$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{2} j m i^{8} \cdot (9 i i^{8} k i^{8} i k i^{8} i k)$

Step 6

Multiply $k^{2}$ by $k$ by adding the exponents.

Tap for more steps...

Step 6.1

Move $k$ .

$62306915230 f^{3} t^{7} - 987890 o i (k \cdot k^{2}) j m i^{8} \cdot (9 i i^{8} i^{8} i k i^{8} i k)$

Step 6.2

Multiply $k$ by $k^{2}$ .

Tap for more steps...

Step 6.2.1

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

$62306915230 f^{3} t^{7} - 987890 o i (k^{1} k^{2}) j m i^{8} \cdot (9 i i^{8} i^{8} i k i^{8} i k)$

Step 6.2.2

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

$62306915230 f^{3} t^{7} - 987890 o i k^{1 + 2} j m i^{8} \cdot (9 i i^{8} i^{8} i k i^{8} i k)$

Step 6.3

Add $1$ and $2$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{3} j m i^{8} \cdot (9 i i^{8} i^{8} i k i^{8} i k)$

Step 7

Multiply $k^{3}$ by $k$ by adding the exponents.

Tap for more steps...

Step 7.1

Move $k$ .

$62306915230 f^{3} t^{7} - 987890 o i (k \cdot k^{3}) j m i^{8} \cdot (9 i i^{8} i^{8} i i^{8} i k)$

Step 7.2

Multiply $k$ by $k^{3}$ .

Tap for more steps...

Step 7.2.1

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

$62306915230 f^{3} t^{7} - 987890 o i (k^{1} k^{3}) j m i^{8} \cdot (9 i i^{8} i^{8} i i^{8} i k)$

Step 7.2.2

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

$62306915230 f^{3} t^{7} - 987890 o i k^{1 + 3} j m i^{8} \cdot (9 i i^{8} i^{8} i i^{8} i k)$

Step 7.3

Add $1$ and $3$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{4} j m i^{8} \cdot (9 i i^{8} i^{8} i i^{8} i k)$

Step 8

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

Tap for more steps...

Step 8.1

Move $k$ .

$62306915230 f^{3} t^{7} - 987890 o i (k \cdot k^{4}) j m i^{8} \cdot (9 i i^{8} i^{8} i i^{8} i)$

Step 8.2

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

Tap for more steps...

Step 8.2.1

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

$62306915230 f^{3} t^{7} - 987890 o i (k^{1} k^{4}) j m i^{8} \cdot (9 i i^{8} i^{8} i i^{8} i)$

Step 8.2.2

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

$62306915230 f^{3} t^{7} - 987890 o i k^{1 + 4} j m i^{8} \cdot (9 i i^{8} i^{8} i i^{8} i)$

Step 8.3

Add $1$ and $4$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m i^{8} \cdot (9 i i^{8} i^{8} i i^{8} i)$

Step 9

Rewrite $i^{8}$ as ${(i^{4})}^{2}$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m {(i^{4})}^{2} \cdot (9 i i^{8} i^{8} i i^{8} i)$

Step 10

Rewrite $i^{4}$ as $1$ .

Tap for more steps...

Step 10.1

Rewrite $i^{4}$ as ${(i^{2})}^{2}$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m {({(i^{2})}^{2})}^{2} \cdot (9 i i^{8} i^{8} i i^{8} i)$

Step 10.2

Rewrite $i^{2}$ as $- 1$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m {({(- 1)}^{2})}^{2} \cdot (9 i i^{8} i^{8} i i^{8} i)$

Step 10.3

Raise $- 1$ to the power of $2$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot 1^{2} \cdot (9 i i^{8} i^{8} i i^{8} i)$

Step 11

One to any power is one.

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot 1 \cdot (9 i i^{8} i^{8} i i^{8} i)$

Step 12

Multiply $- 987890$ by $1$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot (9 i i^{8} i^{8} i i^{8} i)$

Step 13

Rewrite $i^{8}$ as ${(i^{4})}^{2}$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot (9 i {(i^{4})}^{2} i^{8} i i^{8} i)$

Step 14

Rewrite $i^{4}$ as $1$ .

Tap for more steps...

Step 14.1

Rewrite $i^{4}$ as ${(i^{2})}^{2}$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot (9 i {({(i^{2})}^{2})}^{2} i^{8} i i^{8} i)$

Step 14.2

Rewrite $i^{2}$ as $- 1$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot (9 i {({(- 1)}^{2})}^{2} i^{8} i i^{8} i)$

Step 14.3

Raise $- 1$ to the power of $2$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot (9 i \cdot 1^{2} i^{8} i i^{8} i)$

Step 15

One to any power is one.

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot (9 i \cdot 1 i^{8} i i^{8} i)$

Step 16

Multiply $9$ by $1$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot (9 i i^{8} i i^{8} i)$

Step 17

Rewrite $i^{8}$ as ${(i^{4})}^{2}$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot (9 i {(i^{4})}^{2} i i^{8} i)$

Step 18

Rewrite $i^{4}$ as $1$ .

Tap for more steps...

Step 18.1

Rewrite $i^{4}$ as ${(i^{2})}^{2}$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot (9 i {({(i^{2})}^{2})}^{2} i i^{8} i)$

Step 18.2

Rewrite $i^{2}$ as $- 1$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot (9 i {({(- 1)}^{2})}^{2} i i^{8} i)$

Step 18.3

Raise $- 1$ to the power of $2$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot (9 i \cdot 1^{2} i i^{8} i)$

Step 19

One to any power is one.

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot (9 i \cdot 1 i i^{8} i)$

Step 20

Multiply $9$ by $1$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot (9 i i i^{8} i)$

Step 21

Multiply $9 i i$ .

Tap for more steps...

Step 21.1

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

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot (9 (i^{1} i) i^{8} i)$

Step 21.2

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

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot (9 (i^{1} i^{1}) i^{8} i)$

Step 21.3

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

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot (9 i^{1 + 1} i^{8} i)$

Step 21.4

Add $1$ and $1$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot (9 i^{2} i^{8} i)$

Step 22

Rewrite $i^{2}$ as $- 1$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot (9 \cdot - 1 i^{8} i)$

Step 23

Multiply $9$ by $- 1$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot (- 9 i^{8} i)$

Step 24

Rewrite $i^{8}$ as ${(i^{4})}^{2}$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot (- 9 {(i^{4})}^{2} i)$

Step 25

Rewrite $i^{4}$ as $1$ .

Tap for more steps...

Step 25.1

Rewrite $i^{4}$ as ${(i^{2})}^{2}$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot (- 9 {({(i^{2})}^{2})}^{2} i)$

Step 25.2

Rewrite $i^{2}$ as $- 1$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot (- 9 {({(- 1)}^{2})}^{2} i)$

Step 25.3

Raise $- 1$ to the power of $2$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot (- 9 \cdot 1^{2} i)$

Step 26

One to any power is one.

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot (- 9 \cdot 1 i)$

Step 27

Multiply $- 9$ by $1$ .

$62306915230 f^{3} t^{7} - 987890 o i k^{5} j m \cdot (- 9 i)$

Step 28

Multiply $- 987890 o i k^{5} j m (- 9 i)$ .

Tap for more steps...

Step 28.1

Multiply $- 9$ by $- 987890$ .

$62306915230 f^{3} t^{7} + 8891010 o i k^{5} j m i$

Step 28.2

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

$62306915230 f^{3} t^{7} + 8891010 o k^{5} j m (i^{1} i)$

Step 28.3

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

$62306915230 f^{3} t^{7} + 8891010 o k^{5} j m (i^{1} i^{1})$

Step 28.4

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

$62306915230 f^{3} t^{7} + 8891010 o k^{5} j m i^{1 + 1}$

Step 28.5

Add $1$ and $1$ .

$62306915230 f^{3} t^{7} + 8891010 o k^{5} j m i^{2}$

Step 29

Rewrite $i^{2}$ as $- 1$ .

$62306915230 f^{3} t^{7} + 8891010 o k^{5} j m \cdot - 1$

Step 30

Multiply $- 1$ by $8891010$ .

$62306915230 f^{3} t^{7} - 8891010 o k^{5} j m$