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Popular >

simplify+(10)/(3(4)^{7/2)}

Solution

simplify

+ \frac{10}{3 ( 4 ) ^{\frac{7}{2}}}

Solution

\frac{5}{192}

+1

Decimal Notation

0.02604 \dots

Solution steps

\frac{10}{3 \cdot 4 ^{\frac{7}{2}}}

Factor the number:

10 = 2 \cdot 5

= \frac{2 \cdot 5}{3 \cdot 4 ^{\frac{7}{2}}}

Factor

4^{\frac{7}{2}} : 2^{7}

= \frac{2 \cdot 5}{3 \cdot 2 ^{7}}

\frac{2}{2 ^{7}} = \frac{1}{2 ^{6}}

= \frac{5}{3 \cdot 2 ^{6}}

3 \cdot 2^{6} = 192

= \frac{5}{192}

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Frequently Asked Questions (FAQ)

What is simplify+(10)/(3(4)^{7/2)} ?
The solution to simplify+(10)/(3(4)^{7/2)} is 5/192