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Popular >

simplify (2a^3)^4

Solution

simplify

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

Solution

16 a^{12}

Solution steps

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

Apply exponent rule:

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

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

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

2^{4} = 16

= 16 (a^{3})^{4}

Apply exponent rule:

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

assuming

a \geq 0

(a^{3})^{4} = a^{3 \cdot 4}

= 16 a^{3 \cdot 4}

Multiply the numbers:

3 \cdot 4 = 12

= 16 a^{12}

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Frequently Asked Questions (FAQ)

What is (2a^3)^4 ?
The solution to (2a^3)^4 is 16a^{12}