en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-3x^4)^2

Solution

simplify

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

Solution

9 x^{8}

Solution steps

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

Apply exponent rule:

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

if

n

is even

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

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

Apply exponent rule:

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

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

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

3^{2} = 9

= 9 (x^{4})^{2}

Apply exponent rule:

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

assuming

a \geq 0

(x^{4})^{2} = x^{4 \cdot 2}

= 9 x^{4 \cdot 2}

Multiply the numbers:

4 \cdot 2 = 8

= 9 x^{8}

Popular Examples

simplify-11/23-7/23 simplify

- \frac{11}{23} - \frac{7}{23}

simplify sqrt((4-9)^2+(-3-9)^2)simplify

(4 - 9)^{2} + (- 3 - 9)^{2}

simplify 4/(\sqrt[3]{16)}simplify

factor 7x^2+12x-4 factor

7 x^{2} + 12 x - 4

simplify (5b)^2 simplify

(5 b)^{2}

Frequently Asked Questions (FAQ)

What is (-3x^4)^2 ?
The solution to (-3x^4)^2 is 9x^8