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Popular >

simplify (4x^3)^4

Solution

simplify

(4 x^{3})^{4}

Solution

256 x^{12}

Solution steps

(4 x^{3})^{4}

Apply exponent rule:

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

(4 x^{3})^{4} = 4^{4} (x^{3})^{4}

= 4^{4} (x^{3})^{4}

4^{4} = 256

= 256 (x^{3})^{4}

Apply exponent rule:

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

assuming

a \geq 0

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

= 256 x^{3 \cdot 4}

Multiply the numbers:

3 \cdot 4 = 12

= 256 x^{12}

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Frequently Asked Questions (FAQ)

What is (4x^3)^4 ?
The solution to (4x^3)^4 is 256x^{12}