Evaluate 5^2*5^4

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

Step 1

Multiply $5^{2}$ by $5^{4}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$5^{2 + 4}$

Add $2$ and $4$ .

$5^{6}$

$5^{6}$

Step 2

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

$15625$

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