Simplify 1/(a^2)*1/(a^3)

$\frac{1}{a^{2}} \cdot \frac{1}{a^{3}}$

Step 1

Combine.

$\frac{1 \cdot 1}{a^{2} a^{3}}$

Step 2

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

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

$\frac{1 \cdot 1}{a^{2 + 3}}$

Add $2$ and $3$ .

$\frac{1 \cdot 1}{a^{5}}$

Step 3

Multiply $1$ by $1$ .

$\frac{1}{a^{5}}$