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Popular >

simplify 1/4 (4)^{-1}

Solution

simplify

\frac{1}{4} (4)^{- 1}

Solution

\frac{1}{16}

+1

Solution steps

\frac{1}{4} \cdot 4^{- 1}

Apply exponent rule:

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

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

= \frac{1}{4} \cdot \frac{1}{4}

Apply exponent rule:

aa = a^{2}

\frac{1}{4} \cdot \frac{1}{4} = (\frac{1}{4})^{2}

= (\frac{1}{4})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

1^{2} = 1

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

4^{2} = 16

= \frac{1}{16}

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Frequently Asked Questions (FAQ)

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