What is (1/2*5/2)^2 ?

The solution to (1/2*5/2)^2 is 25/16

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simplify (1/2*5/2)^2

simplify

(\frac{1}{2} \cdot \frac{5}{2})^{2}

\frac{25}{16}

Decimal Notation

1.5625

Solution steps

(\frac{1}{2} \cdot \frac{5}{2})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

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

= \frac{1}{4} (\frac{5}{2})^{2}

Apply exponent rule:

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

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

= \frac{1}{4} \cdot \frac{5 ^{2}}{2 ^{2}}

5^{2} = 25

= \frac{1}{4} \cdot \frac{25}{2 ^{2}}

2^{2} = 4

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

\frac{1}{4} \cdot \frac{25}{4} = \frac{25}{16}

= \frac{25}{16}

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