en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^4y^5)(5x^8y^3z^5)

Solution

simplify

(x^{4} y^{5}) (5 x^{8} y^{3} z^{5})

Solution

5 x^{12} y^{8} z^{5}

Solution steps

(x^{4} y^{5}) (5 x^{8} y^{3} z^{5})

Apply exponent rule:

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

x^{4} x^{8} = x^{4 + 8}

= y^{5} \cdot 5 x^{4 + 8} y^{3} z^{5}

Add the numbers:

4 + 8 = 12

= y^{5} \cdot 5 x^{12} y^{3} z^{5}

Apply exponent rule:

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

y^{5} y^{3} = y^{5 + 3}

= 5 x^{12} y^{5 + 3} z^{5}

Add the numbers:

5 + 3 = 8

= 5 x^{12} y^{8} z^{5}

Popular Examples

simplify (9ax^2y^3z)(3bx^3y^5z^2)simplify

(9 a x^{2} y^{3} z) (3 b x^{3} y^{5} z^{2})

simplify 4500e^{-0.15(4)}simplify

4500 e^{- 0.15 (4)}

simplify 0.05*10^{-6}simplify

0.05 \cdot 1 0^{- 6}

simplify (y^{1/2})/(x^{1/2)}simplify

\frac{y ^{\frac{1}{2}}}{x ^{\frac{1}{2}}}

simplify x^{0.5}*y^{0.5}simplify

x^{0.5} \cdot y^{0.5}

Frequently Asked Questions (FAQ)

What is (x^4y^5)(5x^8y^3z^5) ?
The solution to (x^4y^5)(5x^8y^3z^5) is 5x^{12}y^8z^5