Algebra Examples

$\frac{{(5^{4})}^{6}}{5^{2}}$

Step 1

Simplify the numerator.

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Step 1.1

Multiply the exponents in ${(5^{4})}^{6}$ .

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Step 1.1.1

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

$\frac{5^{4 \cdot 6}}{5^{2}}$

Step 1.1.2

Multiply $4$ by $6$ .

$\frac{5^{24}}{5^{2}}$

Step 1.2

Raise $5$ to the power of $24$ .

$\frac{59604644775390600}{5^{2}}$

Step 2

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

$\frac{59604644775390600}{25}$

Step 3

Divide $59604644775390600$ by $25$ .

$2384185791015624$