en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2^2y^3)^5

Solution

simplify

(2^{2} y^{3})^{5}

Solution

1024 y^{15}

Solution steps

(2^{2} y^{3})^{5}

Apply exponent rule:

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

(2^{2} y^{3})^{5} = (2^{2})^{5} (y^{3})^{5}

= (2^{2})^{5} (y^{3})^{5}

(2^{2})^{5} = 1024

= 1024 (y^{3})^{5}

Apply exponent rule:

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

assuming

a \geq 0

(y^{3})^{5} = y^{3 \cdot 5}

= 1024 y^{3 \cdot 5}

Multiply the numbers:

3 \cdot 5 = 15

= 1024 y^{15}

Popular Examples

factor 6m^2+23m+21 factor

6 m^{2} + 23 m + 21

simplify sqrt((2^2)/(5^{-2))}simplify

\frac{2 ^{2}}{5 ^{- 2}}

simplify 2(-1.25)^2+5(-1.25)+1 simplify

2 (- 1.25)^{2} + 5 (- 1.25) + 1

simplify (x^2+8x+15)/(x^2-3x-18)simplify

\frac{x ^{2} + 8 x + 15}{x ^{2} - 3 x - 18}

\frac{256}{15}

Frequently Asked Questions (FAQ)

What is (2^2y^3)^5 ?
The solution to (2^2y^3)^5 is 1024y^{15}