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Popular >

simplify (-4x^2)^3

Solution

simplify

(- 4 x^{2})^{3}

Solution

- 64 x^{6}

Solution steps

(- 4 x^{2})^{3}

Apply exponent rule:

(- a)^{n} = - a^{n},

if

n

is odd

(- 4 x^{2})^{3} = - (4 x^{2})^{3}

= - (4 x^{2})^{3}

Apply exponent rule:

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

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

= - 4^{3} (x^{2})^{3}

4^{3} = 64

= - 64 (x^{2})^{3}

Apply exponent rule:

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

assuming

a \geq 0

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

= - 64 x^{2 \cdot 3}

Multiply the numbers:

2 \cdot 3 = 6

= - 64 x^{6}

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Frequently Asked Questions (FAQ)

What is (-4x^2)^3 ?
The solution to (-4x^2)^3 is -64x^6