Simplify (25^5)^4

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

Step 1

Multiply the exponents in ${(25^{5})}^{4}$ .

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

$25^{5 \cdot 4}$

Multiply $5$ by $4$ .

$25^{20}$

Step 2

Raise $25$ to the power of $20$ .

$9094947017729280000000000000$

Step 3

The result can be shown in multiple forms.

Exact Form:

$9094947017729280000000000000$

Decimal Form:

$9.09494701 \cdot 10^{27}$