Evaluate 1/2a^-4b^2

$\frac{1}{2} a^{- 4} b^{2}$

Step 1

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

$\frac{1}{2} \cdot (\frac{1}{a^{4}} b^{2})$

Step 2

Combine $\frac{1}{a^{4}}$ and $b^{2}$ .

$\frac{1}{2} \cdot \frac{b^{2}}{a^{4}}$

Step 3

Combine.

$\frac{1 b^{2}}{2 a^{4}}$

Step 4

Multiply $b^{2}$ by $1$ .

$\frac{b^{2}}{2 a^{4}}$