en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3x^2y)*(4x^5y^3)

Solution

simplify

(3 x^{2} y) \cdot (4 x^{5} y^{3})

Solution

12 x^{7} y^{4}

Solution steps

(3 x^{2} y) (4 x^{5} y^{3})

Apply exponent rule:

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

x^{2} x^{5} = x^{2 + 5}

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

Add the numbers:

2 + 5 = 7

= 3 y \cdot 4 x^{7} y^{3}

Apply exponent rule:

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

y y^{3} = y^{1 + 3}

= 3 \cdot 4 x^{7} y^{1 + 3}

Add the numbers:

1 + 3 = 4

= 3 \cdot 4 x^{7} y^{4}

Multiply the numbers:

3 \cdot 4 = 12

= 12 x^{7} y^{4}

Popular Examples

simplify (e^{2y})/y*e^{-2y}simplify

\frac{e ^{2 y}}{y} \cdot e^{- 2 y}

simplify sqrt(n+4)*sqrt(n-1)simplify

n + 4 \cdot n - 1

simplify 0.1026*1.88*10^{-6}simplify

0.1026 \cdot 1.88 \cdot 1 0^{- 6}

simplify 2pi(1)(10*10^{-3})simplify

2 π (1) (10 \cdot 1 0^{- 3})

simplify 10000e^{-t}simplify

10000 e^{- t}

Frequently Asked Questions (FAQ)

What is (3x^2y)*(4x^5y^3) ?
The solution to (3x^2y)*(4x^5y^3) is 12x^7y^4