Basic Math Examples

$\frac{h^{6}}{h^{3} \cdot h^{- 5}}$

Step 1

Multiply $h^{3}$ by $h^{- 5}$ by adding the exponents.

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Step 1.1

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

$\frac{h^{6}}{h^{3 - 5}}$

Step 1.2

Subtract $5$ from $3$ .

$\frac{h^{6}}{h^{- 2}}$

Step 2

Move $h^{- 2}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$h^{6} h^{2}$

Step 3

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

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Step 3.1

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

$h^{6 + 2}$

Step 3.2

Add $6$ and $2$ .

$h^{8}$