Algebra Examples

${(5^{- 4} {(25)}^{4})}^{2}$

Step 1

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

${(\frac{1}{5^{4}} {(25)}^{4})}^{2}$

Step 2

Evaluate the exponents.

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Step 2.1

Raise $5$ to the power of $4$ .

${(\frac{1}{625} {(25)}^{4})}^{2}$

Step 2.2

Raise $25$ to the power of $4$ .

${(\frac{1}{625} \cdot 390625)}^{2}$

Step 3

Cancel the common factor of $625$ .

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Step 3.1

Factor $625$ out of $390625$ .

${(\frac{1}{625} \cdot (625 (625)))}^{2}$

Step 3.2

Cancel the common factor.

${(\frac{1}{625} \cdot (625 \cdot 625))}^{2}$

Step 3.3

Rewrite the expression.

$625^{2}$

Step 4

Raise $625$ to the power of $2$ .

$390625$