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Popular >

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

Solution

simplify

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

Solution

\frac{256 e l f t}{6561}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

5 + 3 = 8

= l e f t (\frac{2}{3})^{8}

(\frac{2}{3})^{8} = \frac{2 ^{8}}{3 ^{8}}

= e \frac{2 ^{8}}{3 ^{8}} l f t

Multiply fractions:

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

= \frac{2 ^{8} l e f t}{3 ^{8}}

Refine

= \frac{256 e l f t}{6561}

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Frequently Asked Questions (FAQ)

What is (2/3)^5left(2/3)^3 ?
The solution to (2/3)^5left(2/3)^3 is (256elft)/(6561)