What is (3m^4n^3)(5m^2n^2) ?

The solution to (3m^4n^3)(5m^2n^2) is 15m^6n^5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3m^4n^3)(5m^2n^2)

simplify

(3 m^{4} n^{3}) (5 m^{2} n^{2})

15 m^{6} n^{5}

Solution steps

(3 m^{4} n^{3}) (5 m^{2} n^{2})

Apply exponent rule:

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

m^{4} m^{2} = m^{4 + 2}

= 3 n^{3} \cdot 5 m^{4 + 2} n^{2}

Add the numbers:

4 + 2 = 6

= 3 n^{3} \cdot 5 m^{6} n^{2}

Apply exponent rule:

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

n^{3} n^{2} = n^{3 + 2}

= 3 \cdot 5 m^{6} n^{3 + 2}

Add the numbers:

3 + 2 = 5

= 3 \cdot 5 m^{6} n^{5}

Multiply the numbers:

3 \cdot 5 = 15

= 15 m^{6} n^{5}

\frac{2}{7 + 2}

(5 x + 2 y)^{2} (5 x - 2 y)^{2}

x + 2 x - 1 \cdot x - 2 x - 1

(1 - x)^{- 0.5}