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Popular >

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

Solution

simplify

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

Solution

\frac{256}{6561}

+1

Decimal Notation

0.03901 \dots

Solution steps

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

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

Add the numbers:

5 + 3 = 8

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

Apply exponent rule:

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

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

2^{8} = 256

= \frac{256}{3 ^{8}}

3^{8} = 6561

= \frac{256}{6561}

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Frequently Asked Questions (FAQ)

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