Evaluate ((5^4)^6)/(5^2)

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

Step 1

Simplify the numerator.

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

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

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

Multiply $4$ by $6$ .

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

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

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

Step 2

Simplify the expression.

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

$\frac{59604644775390600}{25}$

Divide $59604644775390600$ by $25$ .

$2384185791015624$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2384185791015624$

Decimal Form:

$2.38418579 \cdot 10^{15}$