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Popular >

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

Solution

simplify

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

Solution

\frac{32}{3125}

+1

Decimal Notation

0.01024

Solution steps

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

Apply exponent rule:

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

(\frac{2}{5})^{3} (\frac{2}{5})^{2} = (\frac{2}{5})^{3 + 2}

= (\frac{2}{5})^{3 + 2}

Add the numbers:

3 + 2 = 5

= (\frac{2}{5})^{5}

Apply exponent rule:

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

= \frac{2 ^{5}}{5 ^{5}}

2^{5} = 32

= \frac{32}{5 ^{5}}

5^{5} = 3125

= \frac{32}{3125}

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Frequently Asked Questions (FAQ)

What is (2/5)^3*(2/5)^2 ?
The solution to (2/5)^3*(2/5)^2 is 32/3125