en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (10xy^3)(3x^4y)

Solution

simplify

(10 x y^{3}) (3 x^{4} y)

Solution

30 x^{5} y^{4}

Solution steps

(10 x y^{3}) (3 x^{4} y)

Apply exponent rule:

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

x x^{4} = x^{1 + 4}

= 10 y^{3} \cdot 3 x^{1 + 4} y

Add the numbers:

1 + 4 = 5

= 10 y^{3} \cdot 3 x^{5} y

Apply exponent rule:

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

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

= 10 \cdot 3 x^{5} y^{3 + 1}

Add the numbers:

3 + 1 = 4

= 10 \cdot 3 x^{5} y^{4}

Multiply the numbers:

10 \cdot 3 = 30

= 30 x^{5} y^{4}

Popular Examples

simplify e^{-0.095(45)}simplify

e^{- 0.095 (45)}

simplify 5e^{-0.15*0}simplify

5 e^{- 0.15 \cdot 0}

simplify (\sqrt[9]{x})^{1/5}simplify

(9 x)^{\frac{1}{5}}

simplify 0.3a^{-4}b^{-9}c^2 simplify

0.3 a^{- 4} b^{- 9} c^{2}

simplify 3e^{3-3t}*e^{-jnpit}simplify

3 e^{3 - 3 t} \cdot e^{- jnπ t}

Frequently Asked Questions (FAQ)

What is (10xy^3)(3x^4y) ?
The solution to (10xy^3)(3x^4y) is 30x^5y^4