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Popular >

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

Solution

simplify

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

Solution

\frac{16 e l f t}{81}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 2 = 4

= l e f t (\frac{2}{3})^{4}

(\frac{2}{3})^{4} = \frac{2 ^{4}}{3 ^{4}}

= e \frac{2 ^{4}}{3 ^{4}} l f t

Multiply fractions:

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

= \frac{2 ^{4} l e f t}{3 ^{4}}

Refine

= \frac{16 e l f t}{81}

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Frequently Asked Questions (FAQ)

What is (2/3)^2left(2/3)^2 ?
The solution to (2/3)^2left(2/3)^2 is (16elft)/(81)