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Popular >

simplify (6^9*6^5)/(6^{15)}

Solution

simplify

\frac{6 ^{9} \cdot 6 ^{5}}{6 ^{15}}

Solution

\frac{1}{6}

+1

Decimal Notation

0.16666 \dots

Solution steps

\frac{6 ^{9} \cdot 6 ^{5}}{6 ^{15}}

\frac{6 ^{9}}{6 ^{15}} = \frac{1}{6 ^{6}}

= \frac{6 ^{5}}{6 ^{6}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = \frac{1}{x ^{b - a}}

= \frac{1}{6 ^{6 - 5}}

Subtract the numbers:

6 - 5 = 1

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

Apply exponent rule:

a^{1} = a

6^{1} = 6

= \frac{1}{6}

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Frequently Asked Questions (FAQ)

What is (6^9*6^5)/(6^{15)} ?
The solution to (6^9*6^5)/(6^{15)} is 1/6