en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

15 x^{4} y^{3}

Solution steps

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

Apply exponent rule:

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

x x^{3} = x^{1 + 3}

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

Add the numbers:

1 + 3 = 4

= 3 y^{2} \cdot 5 x^{4} y

Apply exponent rule:

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

y^{2} y = y^{2 + 1}

= 3 \cdot 5 x^{4} y^{2 + 1}

Add the numbers:

2 + 1 = 3

= 3 \cdot 5 x^{4} y^{3}

Multiply the numbers:

3 \cdot 5 = 15

= 15 x^{4} y^{3}

Popular Examples

simplify 2(2x^{3/5})(3x^2)simplify

2 (2 x^{\frac{3}{5}}) (3 x^{2})

simplify e^{-1/2 ln(x^2+9)}simplify

e^{- \frac{1}{2} l n (x^{2} + 9)}

simplify (m+1)^2(m-1)^2(m+7)simplify

(m + 1)^{2} (m - 1)^{2} (m + 7)

simplify 4e^{-0.65*1}simplify

4 e^{- 0.65 \cdot 1}

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

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

Frequently Asked Questions (FAQ)

What is (3xy^2)(5x^3y) ?
The solution to (3xy^2)(5x^3y) is 15x^4y^3