What is (6x^4y^9z^2)(6x^9z^3) ?

The solution to (6x^4y^9z^2)(6x^9z^3) is 36x^{13}y^9z^5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (6x^4y^9z^2)(6x^9z^3)

simplify

(6 x^{4} y^{9} z^{2}) (6 x^{9} z^{3})

36 x^{13} y^{9} z^{5}

Solution steps

(6 x^{4} y^{9} z^{2}) (6 x^{9} z^{3})

Apply exponent rule:

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

6 \cdot 6 = 6^{1 + 1}

= x^{4} y^{9} z^{2} \cdot 6^{1 + 1} x^{9} z^{3}

Add the numbers:

1 + 1 = 2

= x^{4} y^{9} z^{2} \cdot 6^{2} x^{9} z^{3}

Apply exponent rule:

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

x^{4} x^{9} = x^{4 + 9}

= y^{9} z^{2} \cdot 6^{2} x^{4 + 9} z^{3}

Add the numbers:

4 + 9 = 13

= y^{9} z^{2} \cdot 6^{2} x^{13} z^{3}

Apply exponent rule:

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

z^{2} z^{3} = z^{2 + 3}

= y^{9} \cdot 6^{2} x^{13} z^{2 + 3}

Add the numbers:

2 + 3 = 5

= y^{9} \cdot 6^{2} x^{13} z^{5}

6^{2} = 36

= 36 x^{13} y^{9} z^{5}

3.04 \cdot 1 0^{- 4}

\frac{e ^{5 x}}{e ^{25 x}}

\frac{d}{d t} (e^{s t})

\frac{π}{2} e^{- 5 \cdot (- 0.15)}

What is (6x^4y^9z^2)(6x^9z^3) ?
The solution to (6x^4y^9z^2)(6x^9z^3) is 36x^{13}y^9z^5