What is (6/7)(6/7)(5/7)^3 ?

The solution to (6/7)(6/7)(5/7)^3 is 4500/16807

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simplify (6/7)(6/7)(5/7)^3

simplify

(\frac{6}{7}) (\frac{6}{7}) (\frac{5}{7})^{3}

\frac{4500}{16807}

Decimal Notation

0.26774 \dots

Solution steps

(\frac{6}{7}) (\frac{6}{7}) (\frac{5}{7})^{3}

Apply rule:

(a) = a

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

= \frac{6}{7} \cdot \frac{6}{7} (\frac{5}{7})^{3}

Apply exponent rule:

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

(\frac{5}{7})^{3} = \frac{5 ^{3}}{7 ^{3}}

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

5^{3} = 125

= \frac{6}{7} \cdot \frac{6}{7} \cdot \frac{125}{7 ^{3}}

7^{3} = 343

= \frac{6}{7} \cdot \frac{6}{7} \cdot \frac{125}{343}

\frac{6}{7} \cdot \frac{6}{7} \cdot \frac{125}{343} = \frac{4500}{16807}

= \frac{4500}{16807}

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