Basic Math Examples

${(3 a^{- 2} y^{- 2})}^{- 1}$

Step 1

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

${(3 \frac{1}{a^{2}} y^{- 2})}^{- 1}$

Step 2

Combine $3$ and $\frac{1}{a^{2}}$ .

${(\frac{3}{a^{2}} y^{- 2})}^{- 1}$

Step 3

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

${(\frac{3}{a^{2}} \cdot \frac{1}{y^{2}})}^{- 1}$

Step 4

Combine.

${(\frac{3 \cdot 1}{a^{2} y^{2}})}^{- 1}$

Step 5

Multiply $3$ by $1$ .

${(\frac{3}{a^{2} y^{2}})}^{- 1}$

Step 6

Change the sign of the exponent by rewriting the base as its reciprocal.

$\frac{a^{2} y^{2}}{3}$