en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

9 x^{7}

Solution steps

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

Apply exponent rule:

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

3 \cdot 3 = 3^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

x^{2} x^{5} = x^{2 + 5}

= 3^{2} x^{2 + 5}

Add the numbers:

2 + 5 = 7

= 3^{2} x^{7}

3^{2} = 9

= 9 x^{7}

Popular Examples

simplify 1.2*10^{-5}*12*35 simplify

1.2 \cdot 1 0^{- 5} \cdot 12 \cdot 35

simplify 1/2*1.5sqrt(3)*1.5*6 simplify

\frac{1}{2} \cdot 1.5 3 \cdot 1.5 \cdot 6

simplify 0.412(11.4x10^{-3})simplify

0.412 (11.4 x 1 0^{- 3})

simplify 0.12*2^{-0.5}simplify

0.12 \cdot 2^{- 0.5}

simplify a^4b^3x^4y^3(x-a)(x-b)simplify

a^{4} b^{3} x^{4} y^{3} (x - a) (x - b)

Frequently Asked Questions (FAQ)

What is (3x^2)(3x^5) ?
The solution to (3x^2)(3x^5) is 9x^7