en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2y^3)^4

Solution

simplify

(2 y^{3})^{4}

Solution

16 y^{12}

Solution steps

(2 y^{3})^{4}

Apply exponent rule:

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

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

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

2^{4} = 16

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

Apply exponent rule:

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

assuming

a \geq 0

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

= 16 y^{3 \cdot 4}

Multiply the numbers:

3 \cdot 4 = 12

= 16 y^{12}

Popular Examples

simplify (x^2+2x-63)/(x^2-49)simplify

\frac{x ^{2} + 2 x - 63}{x ^{2} - 49}

simplify 8/6+7/42 simplify

\frac{8}{6} + \frac{7}{42}

simplify 3sqrt(x)(2sqrt(x)-5)simplify

3 x (2 x - 5)

simplify-4r^{-8}s^0 simplify

- 4 r^{- 8} s^{0}

simplify (sqrt(56))/(sqrt(7))simplify

\frac{56}{7}

Frequently Asked Questions (FAQ)

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