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Popular >

simplify (12^7)/(2^5\times 6^6)

Solution

simplify

\frac{1 2 ^{7}}{2 ^{5} \cdot 6 ^{6}}

Solution

24

Solution steps

\frac{1 2 ^{7}}{2 ^{5} \cdot 6 ^{6}}

Factor

1 2^{7} : 2^{14} \cdot 3^{7}

= \frac{2 ^{14} \cdot 3 ^{7}}{2 ^{5} \cdot 6 ^{6}}

\frac{2 ^{14}}{2 ^{5}} = 2^{9}

= \frac{2 ^{9} \cdot 3 ^{7}}{6 ^{6}}

Factor

6^{6} : 2^{6} \cdot 3^{6}

= \frac{2 ^{9} \cdot 3 ^{7}}{2 ^{6} \cdot 3 ^{6}}

\frac{2 ^{9}}{2 ^{6}} = 2^{3}

= \frac{2 ^{3} \cdot 3 ^{7}}{3 ^{6}}

\frac{3 ^{7}}{3 ^{6}} = 3

= 2^{3} \cdot 3

2^{3} \cdot 3 = 24

= 24

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Frequently Asked Questions (FAQ)

What is (12^7)/(2^5\times 6^6) ?
The solution to (12^7)/(2^5\times 6^6) is 24