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Popular >

simplify (4^{-11/3})/(4^{-2/3)}

Solution

simplify

\frac{4 ^{- \frac{11}{3}}}{4 ^{- \frac{2}{3}}}

Solution

\frac{1}{64}

+1

Decimal Notation

0.015625

Solution steps

\frac{4 ^{- \frac{11}{3}}}{4 ^{- \frac{2}{3}}}

Apply exponent rule:

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

= 4^{- \frac{11}{3} - (- \frac{2}{3})}

Apply rule

- (- a) = a

= 4^{- \frac{11}{3} + \frac{2}{3}}

Join

- \frac{11}{3} + \frac{2}{3} : - 3

= 4^{- 3}

Apply exponent rule:

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

= \frac{1}{4 ^{3}}

4^{3} = 64

= \frac{1}{64}

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81 x^{3} + 192

3 x - 4 = 5

3 x^{2} - 4 x + 15 = 0

Frequently Asked Questions (FAQ)

What is (4^{-11/3})/(4^{-2/3)} ?
The solution to (4^{-11/3})/(4^{-2/3)} is 1/64