en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (5x^3y)(3x^2y^5)

Solution

simplify

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

Solution

15 x^{5} y^{6}

Solution steps

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

Apply exponent rule:

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

x^{3} x^{2} = x^{3 + 2}

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

Add the numbers:

3 + 2 = 5

= 5 y \cdot 3 x^{5} y^{5}

Apply exponent rule:

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

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

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

Add the numbers:

1 + 5 = 6

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

Multiply the numbers:

5 \cdot 3 = 15

= 15 x^{5} y^{6}

Popular Examples

simplify-9.3*(0.128*10^{-9})simplify

- 9.3 \cdot (0.128 \cdot 1 0^{- 9})

simplify 900*6.97x10^{-19}simplify

900 \cdot 6.97 x 1 0^{- 19}

simplify 3x(\sqrt[5]{2x})^3 simplify

simplify 2(xy^2)(2xy^2)simplify

2 (x y^{2}) (2 x y^{2})

simplify 100*e^{-pi}simplify

100 \cdot e^{- π}

Frequently Asked Questions (FAQ)

What is (5x^3y)(3x^2y^5) ?
The solution to (5x^3y)(3x^2y^5) is 15x^5y^6