en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (10y^2)(10y^6)

Solution

simplify

(10 y^{2}) (10 y^{6})

Solution

100 y^{8}

Solution steps

(10 y^{2}) (10 y^{6})

Apply exponent rule:

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

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

= y^{2} \cdot 1 0^{1 + 1} y^{6}

Add the numbers:

1 + 1 = 2

= y^{2} \cdot 1 0^{2} y^{6}

Apply exponent rule:

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

y^{2} y^{6} = y^{2 + 6}

= 1 0^{2} y^{2 + 6}

Add the numbers:

2 + 6 = 8

= 1 0^{2} y^{8}

1 0^{2} = 100

= 100 y^{8}

Popular Examples

simplify (e^{ln(t)})^{i2}simplify

(e^{l n (t)})^{i 2}

simplify \sqrt[8]{17^5}simplify

simplify (8x^3)(3x^2)simplify

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

simplify (\sqrt[5]{x 2/3})^4 simplify

simplify 2x'2x^2x^2x simplify

2 x^{'} 2 x^{2} x^{2} x

Frequently Asked Questions (FAQ)

What is (10y^2)(10y^6) ?
The solution to (10y^2)(10y^6) is 100y^8