What is (3/2)^{-2}*9/16 ?

The solution to (3/2)^{-2}*9/16 is 1/4

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simplify (3/2)^{-2}*9/16

simplify

(\frac{3}{2})^{- 2} \cdot \frac{9}{16}

\frac{1}{4}

Decimal Notation

0.25

Solution steps

(\frac{3}{2})^{- 2} \frac{9}{16}

Apply exponent rule:

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

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

= \frac{1}{( \frac{3}{2} ) ^{2}} \cdot \frac{9}{16}

(\frac{3}{2})^{2} = \frac{9}{4}

= \frac{1}{\frac{9}{4}} \cdot \frac{9}{16}

Apply the fraction rule:

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

= \frac{4}{9} \cdot \frac{9}{16}

Cross-cancel common factor:

9

= \frac{4}{16}

Cancel the numbers:

\frac{4}{16} = \frac{1}{4}

= \frac{1}{4}

49 x^{2} y^{4}

k = - 2.03 \frac{- 1.05}{75}

3 x^{2} + 0.6 x = 16.8

3 x^{2} - x = - 4 x + 60

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