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Popular >

simplify 1/e (x^2)^{-1}

Solution

simplify

\frac{1}{e} (x^{2})^{- 1}

Solution

\frac{1}{e x ^{2}}

Solution steps

\frac{1}{e} (x^{2})^{- 1}

(x^{2})^{- 1} : x^{- 2}

= \frac{1}{e} x^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

x^{- 2} = \frac{1}{x ^{2}}

= \frac{1}{e} \cdot \frac{1}{x ^{2}}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 1}{e x ^{2}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{e x ^{2}}

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Frequently Asked Questions (FAQ)

What is 1/e (x^2)^{-1} ?
The solution to 1/e (x^2)^{-1} is 1/(ex^2)