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Popular >

simplify (2a^3)^2

Solution

simplify

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

Solution

4 a^{6}

Solution steps

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

Apply exponent rule:

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

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

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

2^{2} = 4

= 4 (a^{3})^{2}

Apply exponent rule:

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

assuming

a \geq 0

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

= 4 a^{3 \cdot 2}

Multiply the numbers:

3 \cdot 2 = 6

= 4 a^{6}

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Frequently Asked Questions (FAQ)

What is (2a^3)^2 ?
The solution to (2a^3)^2 is 4a^6