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Popular >

simplify (2b^4)^3

Solution

simplify

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

Solution

8 b^{12}

Solution steps

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

Apply exponent rule:

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

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

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

2^{3} = 8

= 8 (b^{4})^{3}

Apply exponent rule:

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

assuming

a \geq 0

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

= 8 b^{4 \cdot 3}

Multiply the numbers:

4 \cdot 3 = 12

= 8 b^{12}

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Frequently Asked Questions (FAQ)

What is (2b^4)^3 ?
The solution to (2b^4)^3 is 8b^{12}