Algebra Examples

$5^{2} \cdot \frac{5^{6}}{5^{- 6}}$

Step 1

Raise $5$ to the power of $6$ .

$5^{2} \cdot \frac{15625}{5^{- 6}}$

Step 2

Simplify the denominator.

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Step 2.1

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

$5^{2} \cdot \frac{15625}{\frac{1}{5^{6}}}$

Step 2.2

Raise $5$ to the power of $6$ .

$5^{2} \cdot \frac{15625}{\frac{1}{15625}}$

Step 3

Raise $5$ to the power of $2$ .

$25 \cdot \frac{15625}{\frac{1}{15625}}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$25 \cdot (15625 \cdot 15625)$

Step 5

Multiply $25 (15625 \cdot 15625)$ .

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Step 5.1

Multiply $15625$ by $15625$ .

$25 \cdot 244140625$

Step 5.2

Multiply $25$ by $244140625$ .

$6103515625$