Algebra Examples

$\frac{6^{2}}{{(6^{- 2})}^{4}}$

Step 1

Raise $6$ to the power of $2$ .

$\frac{36}{{(6^{- 2})}^{4}}$

Step 2

Simplify the denominator.

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Step 2.1

Multiply the exponents in ${(6^{- 2})}^{4}$ .

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Step 2.1.1

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

$\frac{36}{6^{- 2 \cdot 4}}$

Step 2.1.2

Multiply $- 2$ by $4$ .

$\frac{36}{6^{- 8}}$

Step 2.2

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

$\frac{36}{\frac{1}{6^{8}}}$

Step 2.3

Raise $6$ to the power of $8$ .

$\frac{36}{\frac{1}{1679616}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$36 \cdot 1679616$

Step 4

Multiply $36$ by $1679616$ .

$60466176$