Basic Math Examples

${(\frac{1}{625})}^{- \frac{3}{4}}$

Step 1

Change the sign of the exponent by rewriting the base as its reciprocal.

$625^{\frac{3}{4}}$

Step 2

Simplify the expression.

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Step 2.1

Rewrite $625$ as $5^{4}$ .

${(5^{4})}^{\frac{3}{4}}$

Step 2.2

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

$5^{4 (\frac{3}{4})}$

Step 3

Cancel the common factor of $4$ .

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Step 3.1

Cancel the common factor.

$5^{4 (\frac{3}{4})}$

Step 3.2

Rewrite the expression.

$5^{3}$

Step 4

Raise $5$ to the power of $3$ .

$125$