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Popular >

simplify (2/5)^9*(3/7)^9

Solution

simplify

(\frac{2}{5})^{9} \cdot (\frac{3}{7})^{9}

Solution

\frac{10077696}{7.88156 E 13}

+1

Solution steps

(\frac{2}{5})^{9} (\frac{3}{7})^{9}

(\frac{2}{5})^{9} = \frac{512}{1953125}

= \frac{512}{1953125} (\frac{3}{7})^{9}

Apply exponent rule:

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

(\frac{3}{7})^{9} = \frac{3 ^{9}}{7 ^{9}}

= \frac{512}{1953125} \cdot \frac{3 ^{9}}{7 ^{9}}

3^{9} = 19683

= \frac{512}{1953125} \cdot \frac{19683}{7 ^{9}}

7^{9} = 40353607

= \frac{512}{1953125} \cdot \frac{19683}{40353607}

\frac{512}{1953125} \cdot \frac{19683}{40353607} = \frac{10077696}{7.88156 E 13}

= \frac{10077696}{7.88156 E 13}

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Frequently Asked Questions (FAQ)

What is (2/5)^9*(3/7)^9 ?
The solution to (2/5)^9*(3/7)^9 is (10077696)/(7.88156E13)