en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (5x^2y)(2/5 xy^5)

Solution

simplify

(5 x^{2} y) (\frac{2}{5} x y^{5})

Solution

2 x^{3} y^{6}

Solution steps

(5 x^{2} y) (\frac{2}{5} x y^{5})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

= 5 y \frac{2}{5} x^{2 + 1} y^{5}

Add the numbers:

2 + 1 = 3

= 5 y \frac{2}{5} x^{3} y^{5}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

y y^{5} = y^{1 + 5}

= 5 \cdot \frac{2}{5} x^{3} y^{1 + 5}

Add the numbers:

1 + 5 = 6

= 5 \cdot \frac{2}{5} x^{3} y^{6}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 \cdot 5 x ^{3} y ^{6}}{5}

Cancel the common factor:

5

= 2 x^{3} y^{6}

Popular Examples

3 = - x^{2}

8 x - 15 = 3 x

simplify (-4/x)^3 simplify

(- \frac{4}{x})^{3}

3 x < 12

r^{2} = 78

Frequently Asked Questions (FAQ)

What is (5x^2y)(2/5 xy^5) ?
The solution to (5x^2y)(2/5 xy^5) is 2x^3y^6