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Popular >

simplify (-2x^4)^5

Solution

simplify

(- 2 x^{4})^{5}

Solution

- 32 x^{20}

Solution steps

(- 2 x^{4})^{5}

Apply exponent rule:

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

if

n

is odd

(- 2 x^{4})^{5} = - (2 x^{4})^{5}

= - (2 x^{4})^{5}

Apply exponent rule:

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

(2 x^{4})^{5} = 2^{5} (x^{4})^{5}

= - 2^{5} (x^{4})^{5}

2^{5} = 32

= - 32 (x^{4})^{5}

Apply exponent rule:

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

assuming

a \geq 0

(x^{4})^{5} = x^{4 \cdot 5}

= - 32 x^{4 \cdot 5}

Multiply the numbers:

4 \cdot 5 = 20

= - 32 x^{20}

Popular Examples

- 3 x < 21

simplify 8*4 simplify

8 \cdot 4

1.68(1.18n+17.2)=-0.2n-3.84

1.68 (1.18 n + 17.2) = - 0.2 n - 3.84

\frac{2}{x} \leq 0

10(x-10)-10=27x-297

10 (x - 10) - 10 = 27 x - 297

Frequently Asked Questions (FAQ)

What is (-2x^4)^5 ?
The solution to (-2x^4)^5 is -32x^{20}