Evaluate 5((5^5)/(5^3))

$5 (\frac{5^{5}}{5^{3}})$

Step 1

Evaluate the exponents.

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

$5 \frac{3125}{5^{3}}$

Raise $5$ to the power of $3$ .

$5 (\frac{3125}{125})$

$5 (\frac{3125}{125})$

Step 2

Cancel the common factor of $5$ .

Factor $5$ out of $125$ .

$5 \frac{3125}{5 (25)}$

Cancel the common factor.

$5 \frac{3125}{5 \cdot 25}$

Rewrite the expression.

$\frac{3125}{25}$

$\frac{3125}{25}$

Step 3

Divide $3125$ by $25$ .

$125$

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