Basic Math Examples

${(\frac{h^{6}}{h^{- 8}})}^{- 6}$

Step 1

Move $h^{- 8}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

${(h^{6} h^{8})}^{- 6}$

Step 2

Multiply $h^{6}$ by $h^{8}$ by adding the exponents.

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Step 2.1

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

${(h^{6 + 8})}^{- 6}$

Step 2.2

Add $6$ and $8$ .

${(h^{14})}^{- 6}$

Step 3

Multiply the exponents in ${(h^{14})}^{- 6}$ .

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Step 3.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$h^{14 \cdot - 6}$

Step 3.2

Multiply $14$ by $- 6$ .

$h^{- 84}$

Step 4

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{h^{84}}$