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Popular >

simplify (-4/3)^{-6}

Solution

simplify

(- \frac{4}{3})^{- 6}

Solution

\frac{729}{4096}

+1

Decimal Notation

0.17797 \dots

Solution steps

(- \frac{4}{3})^{- 6}

Apply exponent rule:

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

(- \frac{4}{3})^{- 6} = \frac{1}{( - \frac{4}{3} ) ^{6}}

= \frac{1}{( - \frac{4}{3} ) ^{6}}

(- \frac{4}{3})^{6} = \frac{4096}{729}

= \frac{1}{\frac{4096}{729}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{729}{4096}

Popular Examples

simplify 2(9)^{3/2}simplify

2 (9)^{\frac{3}{2}}

4 e + 6 - 11 e = - 8

120=(x-14)(x-6)0.5

120 = (x - 14) (x - 6) 0.5

simplify (\sqrt[3]{16})/(\sqrt[3]{2)}simplify

4.9x^2-10x-14.1=0

4.9 x^{2} - 10 x - 14.1 = 0

Frequently Asked Questions (FAQ)

What is (-4/3)^{-6} ?
The solution to (-4/3)^{-6} is 729/4096