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Popular >

simplify ((2a^2)^3)/b

Solution

simplify

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

Solution

\frac{8 a ^{6}}{b}

Solution steps

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

2^{3} = 8

= \frac{8 ( a ^{2} ) ^{3}}{b}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

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

= \frac{8 a ^{2 \cdot 3}}{b}

Multiply the numbers:

2 \cdot 3 = 6

= \frac{8 a ^{6}}{b}

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Frequently Asked Questions (FAQ)

What is ((2a^2)^3)/b ?
The solution to ((2a^2)^3)/b is (8a^6)/b