What is (2x^3)(3x^4)(2x^5) ?

The solution to (2x^3)(3x^4)(2x^5) is 12x^{12}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

12 x^{12}

Solution steps

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

Apply exponent rule:

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

2 \cdot 2 = 2^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

x^{3} x^{4} x^{5} = x^{3 + 4 + 5}

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

Add the numbers:

3 + 4 + 5 = 12

= 3 \cdot 2^{2} x^{12}

2^{2} = 4

= 3 \cdot 4 x^{12}

Multiply the numbers:

3 \cdot 4 = 12

= 12 x^{12}

24 3^{- \frac{4}{5}} \cdot 0.033 \cdot \frac{1}{5}

8.5 \cdot 1 0^{- 4}

8.5 \cdot 1 0^{- 8}

0.0146 \cdot 1 0^{- 4}