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Popular >

simplify (6/7)^3*(6/7)^8

Solution

simplify

(\frac{6}{7})^{3} \cdot (\frac{6}{7})^{8}

Solution

\frac{362797056}{7 ^{11}}

+1

Decimal Notation

0.18347 \dots

Solution steps

(\frac{6}{7})^{3} (\frac{6}{7})^{8}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

(\frac{6}{7})^{3} (\frac{6}{7})^{8} = (\frac{6}{7})^{3 + 8}

= (\frac{6}{7})^{3 + 8}

Add the numbers:

3 + 8 = 11

= (\frac{6}{7})^{11}

Apply exponent rule:

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

= \frac{6 ^{11}}{7 ^{11}}

6^{11} = 362797056

= \frac{362797056}{7 ^{11}}

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Frequently Asked Questions (FAQ)

What is (6/7)^3*(6/7)^8 ?
The solution to (6/7)^3*(6/7)^8 is (362797056)/(7^{11)}