What is (1/3)^4*(1/5)^4*(3/4)^4 ?

The solution to (1/3)^4*(1/5)^4*(3/4)^4 is 1/160000

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simplify (1/3)^4(1/5)^4(3/4)^4

simplify

(\frac{1}{3})^{4} \cdot (\frac{1}{5})^{4} \cdot (\frac{3}{4})^{4}

\frac{1}{160000}

Decimal Notation

0.00000625

Solution steps

(\frac{1}{3})^{4} (\frac{1}{5})^{4} (\frac{3}{4})^{4}

(\frac{1}{3})^{4} = \frac{1}{81}

= \frac{1}{81} (\frac{1}{5})^{4} (\frac{3}{4})^{4}

(\frac{1}{5})^{4} = \frac{1}{625}

= \frac{1}{81} \cdot \frac{1}{625} (\frac{3}{4})^{4}

Apply exponent rule:

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

(\frac{3}{4})^{4} = \frac{3 ^{4}}{4 ^{4}}

= \frac{1}{81} \cdot \frac{1}{625} \cdot \frac{3 ^{4}}{4 ^{4}}

3^{4} = 81

= \frac{1}{81} \cdot \frac{1}{625} \cdot \frac{81}{4 ^{4}}

4^{4} = 256

= \frac{1}{81} \cdot \frac{1}{625} \cdot \frac{81}{256}

Cross-cancel common factor:

81

= \frac{1}{256} \cdot \frac{1}{625}

\frac{1}{256} \cdot \frac{1}{625} = \frac{1}{160000}

= \frac{1}{160000}

\frac{3}{7} t x r + \frac{6}{5} t x r + \frac{4}{5} t x r

4 x (m - n) + n - m

(2 x - \frac{1}{2})^{2}

3^{- (- 1)}

\frac{5}{7 - 6}

What is (1/3)^4*(1/5)^4*(3/4)^4 ?
The solution to (1/3)^4*(1/5)^4*(3/4)^4 is 1/160000