en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 10x^2y^3(10xy^8)

Solution

simplify

10 x^{2} y^{3} (10 x y^{8})

Solution

100 x^{3} y^{11}

Solution steps

10 x^{2} y^{3} (10 x y^{8})

Apply exponent rule:

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

10 \cdot 10 = 1 0^{1 + 1}

= x^{2} y^{3} \cdot 1 0^{1 + 1} x y^{8}

Add the numbers:

1 + 1 = 2

= x^{2} y^{3} \cdot 1 0^{2} x y^{8}

Apply exponent rule:

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

x^{2} x = x^{2 + 1}

= y^{3} \cdot 1 0^{2} x^{2 + 1} y^{8}

Add the numbers:

2 + 1 = 3

= y^{3} \cdot 1 0^{2} x^{3} y^{8}

Apply exponent rule:

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

y^{3} y^{8} = y^{3 + 8}

= 1 0^{2} x^{3} y^{3 + 8}

Add the numbers:

3 + 8 = 11

= 1 0^{2} x^{3} y^{11}

1 0^{2} = 100

= 100 x^{3} y^{11}

Popular Examples

simplify e^{-x}(x^2+2x)simplify

e^{- x} (x^{2} + 2 x)

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

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

simplify x^2(3x^3)simplify

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

simplify (e^3)/(e^2)simplify

\frac{e ^{3}}{e ^{2}}

simplify 2(λe^{-λt})(1-e^{-λt})simplify

2 (λ e^{- λ t}) (1 - e^{- λ t})

Frequently Asked Questions (FAQ)

What is 10x^2y^3(10xy^8) ?
The solution to 10x^2y^3(10xy^8) is 100x^3y^{11}