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Popular >

simplify [(3(2a)^3)/2 ]^2

Solution

simplify

[\frac{3 ( 2 a ) ^{3}}{2}]^{2}

Solution

144 a^{6}

Solution steps

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

Apply exponent rule:

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

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

Simplify

(3 (2 a)^{3})^{2} : 576 a^{6}

= \frac{576 a ^{6}}{2 ^{2}}

2^{2} = 4

= \frac{576 a ^{6}}{4}

Divide the numbers:

\frac{576}{4} = 144

= 144 a^{6}

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Frequently Asked Questions (FAQ)

What is [(3(2a)^3)/2 ]^2 ?
The solution to [(3(2a)^3)/2 ]^2 is 144a^6