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Popular >

simplify (-2x^3)^4

Solution

simplify

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

Solution

16 x^{12}

Solution steps

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

Apply exponent rule:

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

if

n

is even

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

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

Apply exponent rule:

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

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

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

2^{4} = 16

= 16 (x^{3})^{4}

Apply exponent rule:

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

assuming

a \geq 0

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

= 16 x^{3 \cdot 4}

Multiply the numbers:

3 \cdot 4 = 12

= 16 x^{12}

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Frequently Asked Questions (FAQ)

What is (-2x^3)^4 ?
The solution to (-2x^3)^4 is 16x^{12}