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Popular >

simplify 4(3/2)^2

Solution

simplify

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

Solution

9

Solution steps

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

Apply exponent rule:

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

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

= 4 \cdot \frac{3 ^{2}}{2 ^{2}}

3^{2} = 9

= 4 \cdot \frac{9}{2 ^{2}}

2^{2} = 4

= 4 \cdot \frac{9}{4}

Convert element to fraction:

4 = \frac{4}{1}

= \frac{4}{1} \cdot \frac{9}{4}

Cross-cancel common factor:

4

= \frac{9}{1}

Divide the numbers:

\frac{9}{1} = 9

= 9

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Frequently Asked Questions (FAQ)

What is 4(3/2)^2 ?
The solution to 4(3/2)^2 is 9