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Popular >

simplify 20a^4*(1/2 a^3)^2

Solution

simplify

20 a^{4} \cdot (\frac{1}{2} a^{3})^{2}

Solution

5 a^{10}

Solution steps

20 a^{4} (\frac{1}{2} a^{3})^{2}

Simplify

(\frac{1}{2} a^{3})^{2} : \frac{a ^{6}}{4}

= 20 a^{4} \frac{a ^{6}}{4}

Apply the fraction rule:

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

= \frac{20 a ^{4} a ^{6}}{4}

Divide the numbers:

\frac{20}{4} = 5

= 5 a^{4} a^{6}

Apply exponent rule:

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

a^{4} a^{6} = a^{4 + 6}

= 5 a^{4 + 6}

Add the numbers:

4 + 6 = 10

= 5 a^{10}

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Frequently Asked Questions (FAQ)

What is 20a^4*(1/2 a^3)^2 ?
The solution to 20a^4*(1/2 a^3)^2 is 5a^{10}