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Popular >

simplify 4^{-2}x^{-1}y^2

Solution

simplify

4^{- 2} x^{- 1} y^{2}

Solution

\frac{y ^{2}}{16 x}

Solution steps

4^{- 2} x^{- 1} y^{2}

4^{- 2} = \frac{1}{16}

= \frac{1}{16} x^{- 1} y^{2}

Apply exponent rule:

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

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

= \frac{1}{16} \cdot \frac{1}{x} y^{2}

Apply the fraction rule:

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

= \frac{1 \cdot 1 \cdot y ^{2}}{16 x}

Simplify

1 \cdot 1 \cdot y^{2} : y^{2}

= \frac{y ^{2}}{16 x}

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Frequently Asked Questions (FAQ)

What is 4^{-2}x^{-1}y^2 ?
The solution to 4^{-2}x^{-1}y^2 is (y^2)/(16x)