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 \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

8q^2-5q=7q^2-8q+18

8 q^{2} - 5 q = 7 q^{2} - 8 q + 18

4 x^{2} + 1 = - 4 x

simplify (36)^{3/2}simplify

(36)^{\frac{3}{2}}

simplify (-9x^{-1}y^{-9})/(-15x^5y^{-3)}simplify

\frac{- 9 x ^{- 1} y ^{- 9}}{- 15 x ^{5} y ^{- 3}}

factor 4x^3+12x^2+12x+4 factor

4 x^{3} + 12 x^{2} + 12 x + 4

Frequently Asked Questions (FAQ)

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