Simplify a^2b^0(a^-3)

$a^{2} b^{0} (a^{- 3})$

Step 1

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

Move $a^{- 3}$ .

$a^{- 3} a^{2} b^{0}$

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

$a^{- 3 + 2} b^{0}$

Add $- 3$ and $2$ .

$a^{- 1} b^{0}$

Step 2

Simplify $a^{- 1} b^{0}$ .

$a^{- 1}$

Step 3

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{a}$