What is (2 1/4)^{-2} ?

The solution to (2 1/4)^{-2} is 16/81

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simplify (2 1/4)^{-2}

simplify

(2 \frac{1}{4})^{- 2}

\frac{16}{81}

Solution steps

(2 \frac{1}{4})^{- 2}

Convert mixed numbers to improper fractions:

2 \frac{1}{4} = \frac{9}{4}

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

Apply exponent rule:

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

(\frac{9}{4})^{- 2} = \frac{1}{( \frac{9}{4} ) ^{2}}

= \frac{1}{( \frac{9}{4} ) ^{2}}

(\frac{9}{4})^{2} = \frac{81}{16}

= \frac{1}{\frac{81}{16}}

Apply the fraction rule:

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

= \frac{16}{81}

4 x - 12 x^{2} = 0

x^{3} + 18 x^{2} + 81 x

8 x + \frac{3}{4} < 2

10 y^{4} + 9 y x

9 - 2 x - 9 - 16 x = - 14 x - 7 - 4 x - 11