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Popular >

simplify (4x^3)^3

Solution

simplify

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

Solution

64 x^{9}

Solution steps

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

Apply exponent rule:

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

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

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

4^{3} = 64

= 64 (x^{3})^{3}

Apply exponent rule:

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

assuming

a \geq 0

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

= 64 x^{3 \cdot 3}

Multiply the numbers:

3 \cdot 3 = 9

= 64 x^{9}

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Frequently Asked Questions (FAQ)

What is (4x^3)^3 ?
The solution to (4x^3)^3 is 64x^9