en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

16 x^{6} y^{7}

Solution steps

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

Apply exponent rule:

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

4 \cdot 4 = 4^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

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

Add the numbers:

3 + 3 = 6

= y^{2} \cdot 4^{2} x^{6} y^{5}

Apply exponent rule:

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

y^{2} y^{5} = y^{2 + 5}

= 4^{2} x^{6} y^{2 + 5}

Add the numbers:

2 + 5 = 7

= 4^{2} x^{6} y^{7}

4^{2} = 16

= 16 x^{6} y^{7}

Popular Examples

exponent \sqrt[3]{4x+8}radical to exponent

simplify e^{-12x}e^{-11}simplify

e^{- 12 x} e^{- 11}

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

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

simplify sqrt(u)sqrt(1-u)simplify

u 1 - u

simplify-10^{-4}*5.1^{15}simplify

- 1 0^{- 4} \cdot 5. 1^{15}

Frequently Asked Questions (FAQ)

What is (4x^3y^2)(4x^3y^5) ?
The solution to (4x^3y^2)(4x^3y^5) is 16x^6y^7