What is (5/2)^{-2}*25/8 ?

The solution to (5/2)^{-2}*25/8 is 1/2

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simplify (5/2)^{-2}*25/8

simplify

(\frac{5}{2})^{- 2} \cdot \frac{25}{8}

\frac{1}{2}

Decimal Notation

0.5

Solution steps

(\frac{5}{2})^{- 2} \frac{25}{8}

Apply exponent rule:

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

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

= \frac{1}{( \frac{5}{2} ) ^{2}} \cdot \frac{25}{8}

(\frac{5}{2})^{2} = \frac{25}{4}

= \frac{1}{\frac{25}{4}} \cdot \frac{25}{8}

Apply the fraction rule:

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

= \frac{4}{25} \cdot \frac{25}{8}

Cross-cancel common factor:

25

= \frac{4}{8}

Cancel the numbers:

\frac{4}{8} = \frac{1}{2}

= \frac{1}{2}

1 - \frac{0.05}{2}

x^{2} + 12 x - 28 = 0

\frac{x ^{- 8}}{x ^{- 7}}

(x - 2)^{2} - 4 (x - 2) - 21 = 0

2^{\frac{1}{2}} \cdot 2^{\frac{1}{2}}