What is ((2/3)^{-2})/((2/3)^3) ?

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

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

simplify

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

\frac{243}{32}

Decimal Notation

7.59375

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}

Subtract the numbers:

- 2 - 3 = - 5

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

Apply exponent rule:

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

= \frac{1}{( \frac{2}{3} ) ^{5}}

Apply exponent rule:

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

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

= \frac{1}{\frac{2 ^{5}}{3 ^{5}}}

Apply the fraction rule:

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

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

3^{5} = 243

= \frac{243}{2 ^{5}}

2^{5} = 32

= \frac{243}{32}

6 \cdot 1 0^{- 4}

\frac{2}{3} (5)

(s + 3) (s - 1)

1 \frac{3}{4} + 2 \frac{1}{2}

\frac{3}{4} - \frac{1}{12}

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