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Popular >

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

Solution

simplify

(\frac{2}{5})^{3} l e f t (\frac{2}{5})^{2}

Solution

\frac{32 e l f t}{3125}

Solution steps

(\frac{2}{5})^{3} l e f t (\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}

= l e f t (\frac{2}{5})^{3 + 2}

Add the numbers:

3 + 2 = 5

= l e f t (\frac{2}{5})^{5}

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

= e \frac{2 ^{5}}{5 ^{5}} l f t

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 ^{5} l e f t}{5 ^{5}}

Refine

= \frac{32 e l f t}{3125}

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Frequently Asked Questions (FAQ)

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