What is ((2/3)^2)/((2/3)^3) ?

The solution to ((2/3)^2)/((2/3)^3) is 3/2

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simplify ((2/3)^2)/((2/3)^3)

simplify

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

\frac{3}{2}

Decimal

1.5

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 = - 1

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

Apply exponent rule:

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

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

Apply the fraction rule:

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

= \frac{3}{2}

(65 - 125) \cdot 45

(4 x - y)^{2}

\frac{x ^{2} - 64}{x ^{2} + 16 x + 64}

16 \div 8

\frac{10}{1}