Simplify (5^25^3)/(5^35^2)

$\frac{5^{2} \cdot 5^{3}}{5^{3} \cdot 5^{2}}$

Step 1

Multiply $5^{2}$ by $5^{3}$ by adding the exponents.

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

$\frac{5^{2 + 3}}{5^{3} \cdot 5^{2}}$

Add $2$ and $3$ .

$\frac{5^{5}}{5^{3} \cdot 5^{2}}$

Step 2

Multiply $5^{3}$ by $5^{2}$ by adding the exponents.

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

$\frac{5^{5}}{5^{3 + 2}}$

Add $3$ and $2$ .

$\frac{5^{5}}{5^{5}}$

Step 3

Cancel the common factor of $5^{5}$ .

Cancel the common factor.

$\frac{5^{5}}{5^{5}}$

Rewrite the expression.

$1$

Simplify (5^2*5^3)/(5^3*5^2)