en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (125y^6)^{2/3}

Solution

simplify

(125 y^{6})^{\frac{2}{3}}

Solution

25 y^{4}

Solution steps

(125 y^{6})^{\frac{2}{3}}

Apply exponent rule:

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

(125 y^{6})^{\frac{2}{3}} = 12 5^{\frac{2}{3}} (y^{6})^{\frac{2}{3}}

= 12 5^{\frac{2}{3}} (y^{6})^{\frac{2}{3}}

12 5^{\frac{2}{3}} = 25

= 25 (y^{6})^{\frac{2}{3}}

Apply exponent rule:

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

assuming

a \geq 0

(y^{6})^{\frac{2}{3}} = y^{6 \cdot \frac{2}{3}}

= 25 y^{6 \cdot \frac{2}{3}}

6 \cdot \frac{2}{3} = 4

= 25 y^{4}

Popular Examples

simplify (4^2)/(3^{-2)}simplify

\frac{4 ^{2}}{3 ^{- 2}}

simplify 1/(\sqrt[3]{8y^2)}simplify

expand 2x^2(3x^2+2xy^2-7x)expand

2 x^{2} (3 x^{2} + 2 x y^{2} - 7 x)

simplify (x/(x+1))^2 simplify

(\frac{x}{x + 1})^{2}

simplify 3(x+9)+5(4x-6)simplify

3 (x + 9) + 5 (4 x - 6)

Frequently Asked Questions (FAQ)

What is (125y^6)^{2/3} ?
The solution to (125y^6)^{2/3} is 25y^4