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Popular >

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

Solution

simplify

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

Solution

\frac{32}{243}

+1

Decimal Notation

0.13168 \dots

Solution steps

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

Apply exponent rule:

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

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

Apply rule

- (- a) = a

= (\frac{2}{3})^{2 + 3}

Add the numbers:

2 + 3 = 5

= (\frac{2}{3})^{5}

Apply exponent rule:

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

= \frac{2 ^{5}}{3 ^{5}}

2^{5} = 32

= \frac{32}{3 ^{5}}

3^{5} = 243

= \frac{32}{243}

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Frequently Asked Questions (FAQ)

What is ((2/3)^2)/((2/3)^{-3)} ?
The solution to ((2/3)^2)/((2/3)^{-3)} is 32/243