Basic Math Examples

$h^{6} r^{- 3} \cdot (8 h^{- 2} r^{2}) \cdot (7 (h r^{3}))$

Step 1

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

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Step 1.1

Move $h^{- 2}$ .

$h^{- 2} h^{6} r^{- 3} \cdot (8 r^{2}) \cdot (7 (h r^{3}))$

Step 1.2

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

$h^{- 2 + 6} r^{- 3} \cdot (8 r^{2}) \cdot (7 (h r^{3}))$

Step 1.3

Add $- 2$ and $6$ .

$h^{4} r^{- 3} \cdot (8 r^{2}) \cdot (7 (h r^{3}))$

Step 2

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

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Step 2.1

Move $h$ .

$h \cdot h^{4} r^{- 3} \cdot (8 r^{2}) \cdot (7 (r^{3}))$

Step 2.2

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

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Step 2.2.1

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

$h^{1} h^{4} r^{- 3} \cdot (8 r^{2}) \cdot (7 (r^{3}))$

Step 2.2.2

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

$h^{1 + 4} r^{- 3} \cdot (8 r^{2}) \cdot (7 (r^{3}))$

Step 2.3

Add $1$ and $4$ .

$h^{5} r^{- 3} \cdot (8 r^{2}) \cdot (7 (r^{3}))$

Step 3

Multiply $r^{- 3}$ by $r^{2}$ by adding the exponents.

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Step 3.1

Move $r^{2}$ .

$h^{5} (r^{2} r^{- 3}) \cdot 8 \cdot (7 (r^{3}))$

Step 3.2

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

$h^{5} r^{2 - 3} \cdot 8 \cdot (7 (r^{3}))$

Step 3.3

Subtract $3$ from $2$ .

$h^{5} r^{- 1} \cdot 8 \cdot (7 (r^{3}))$

Step 4

Multiply $r^{- 1}$ by $r^{3}$ by adding the exponents.

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Step 4.1

Move $r^{3}$ .

$h^{5} (r^{3} r^{- 1}) \cdot 8 \cdot 7$

Step 4.2

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

$h^{5} r^{3 - 1} \cdot 8 \cdot 7$

Step 4.3

Subtract $1$ from $3$ .

$h^{5} r^{2} \cdot 8 \cdot 7$

Step 5

Move $8$ to the left of $h^{5} r^{2}$ .

$8 \cdot (h^{5} r^{2}) \cdot 7$

Step 6

Multiply $7$ by $8$ .

$56 h^{5} r^{2}$