Simplify (8^3*8^2)/(8^5)

$\frac{8^{3} \cdot 8^{2}}{8^{5}}$

Step 1

Multiply $8^{3}$ by $8^{2}$ by adding the exponents.

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

$\frac{8^{3 + 2}}{8^{5}}$

Add $3$ and $2$ .

$\frac{8^{5}}{8^{5}}$

Step 2

Cancel the common factor of $8^{5}$ .

Cancel the common factor.

$\frac{8^{5}}{8^{5}}$

Rewrite the expression.

$1$