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Popular >

simplify (2^53^5)/(6^46^2)

Solution

simplify

\frac{2 ^{5} \cdot 3 ^{5}}{6 ^{4} \cdot 6 ^{2}}

Solution

\frac{1}{6}

+1

Decimal Notation

0.16666 \dots

Solution steps

\frac{2 ^{5} \cdot 3 ^{5}}{6 ^{4} \cdot 6 ^{2}}

Factor

6^{4} : 2^{4} \cdot 3^{4}

= \frac{2 ^{5} \cdot 3 ^{5}}{2 ^{4} \cdot 3 ^{4} \cdot 6 ^{2}}

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

= \frac{2 \cdot 3 ^{5}}{3 ^{4} \cdot 6 ^{2}}

\frac{3 ^{5}}{3 ^{4}} = 3

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

Factor

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

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

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

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

\frac{3}{3 ^{2}} = \frac{1}{3}

= \frac{1}{2 \cdot 3}

Multiply the numbers:

2 \cdot 3 = 6

= \frac{1}{6}

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Frequently Asked Questions (FAQ)

What is (2^5*3^5)/(6^4*6^2) ?
The solution to (2^5*3^5)/(6^4*6^2) is 1/6