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Popular >

simplify ((1+2)/(3*a))^3

Solution

simplify

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

Solution

\frac{1}{a ^{3}}

Solution steps

(\frac{1 + 2}{3 a})^{3}

Apply exponent rule:

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

= \frac{( 1 + 2 ) ^{3}}{( 3 a ) ^{3}}

(1 + 2)^{3} = 27

= \frac{27}{( 3 a ) ^{3}}

Simplify

(3 a)^{3} : 27 a^{3}

= \frac{27}{27 a ^{3}}

Divide the numbers:

\frac{27}{27} = 1

= \frac{1}{a ^{3}}

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Frequently Asked Questions (FAQ)

What is ((1+2)/(3*a))^3 ?
The solution to ((1+2)/(3*a))^3 is 1/(a^3)