What is 1/2 (1/2*2*4*6^2)(4/5)^2 ?

The solution to 1/2 (1/2*2*4*6^2)(4/5)^2 is 1152/25

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simplify 1/2 (1/224*6^2)(4/5)^2

simplify

\frac{1}{2} (\frac{1}{2} \cdot 2 \cdot 4 \cdot 6^{2}) (\frac{4}{5})^{2}

\frac{1152}{25}

Solution steps

\frac{1}{2} (\frac{1}{2} \cdot 2 \cdot 4 \cdot 6^{2}) (\frac{4}{5})^{2}

\frac{1}{2} \cdot 2 \cdot 4 \cdot 6^{2} = 144

= \frac{1}{2} \cdot 144 (\frac{4}{5})^{2}

Apply exponent rule:

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

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

= \frac{1}{2} \cdot 144 \cdot \frac{4 ^{2}}{5 ^{2}}

4^{2} = 16

= \frac{1}{2} \cdot 144 \cdot \frac{16}{5 ^{2}}

5^{2} = 25

= \frac{1}{2} \cdot 144 \cdot \frac{16}{25}

\frac{1}{2} \cdot 144 \cdot \frac{16}{25} = \frac{1152}{25}

= \frac{1152}{25}

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What is 1/2 (1/2*2*4*6^2)(4/5)^2 ?
The solution to 1/2 (1/2*2*4*6^2)(4/5)^2 is 1152/25