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Popular >

simplify (-4x^3)^2

Solution

simplify

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

Solution

16 x^{6}

Solution steps

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

Apply exponent rule:

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

if

n

is even

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

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

Apply exponent rule:

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

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

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

4^{2} = 16

= 16 (x^{3})^{2}

Apply exponent rule:

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

assuming

a \geq 0

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

= 16 x^{3 \cdot 2}

Multiply the numbers:

3 \cdot 2 = 6

= 16 x^{6}

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Frequently Asked Questions (FAQ)

What is (-4x^3)^2 ?
The solution to (-4x^3)^2 is 16x^6