en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (4a^4)^2

Solution

simplify

(4 a^{4})^{2}

Solution

16 a^{8}

Solution steps

(4 a^{4})^{2}

Apply exponent rule:

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

(4 a^{4})^{2} = 4^{2} (a^{4})^{2}

= 4^{2} (a^{4})^{2}

4^{2} = 16

= 16 (a^{4})^{2}

Apply exponent rule:

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

assuming

a \geq 0

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

= 16 a^{4 \cdot 2}

Multiply the numbers:

4 \cdot 2 = 8

= 16 a^{8}

Popular Examples

factor 18x-3x^2 factor

18 x - 3 x^{2}

factor 5t^4u+kt^3u^2-10t^4 factor

5 t^{4} u + k t^{3} u^{2} - 10 t^{4}

simplify (a^{-4}b^{-8})^{3/4}simplify

(a^{- 4} b^{- 8})^{\frac{3}{4}}

factor 11x^2-165x factor

11 x^{2} - 165 x

simplify 2sqrt(56)simplify

256

Frequently Asked Questions (FAQ)

What is (4a^4)^2 ?
The solution to (4a^4)^2 is 16a^8