en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3^n*9^{n+1}

Solution

simplify

3^{n} \cdot 9^{n + 1}

Solution

3^{3 n + 2}

Solution steps

3^{n} \cdot 9^{n + 1}

Simplify

9^{n + 1} : 3^{2 (n + 1)}

= 3^{n} \cdot 3^{2 (n + 1)}

Apply exponent rule:

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

3^{n} \cdot 3^{2 (n + 1)} = 3^{n + 2 (n + 1)}

= 3^{n + 2 (n + 1)}

Simplify

n + 2 (n + 1) : 3 n + 2

= 3^{3 n + 2}

Popular Examples

simplify sin(90)+a simplify

sin (9 0^{\circ}) + a

factor m^3-2m^2-2m-3 factor

m^{3} - 2 m^{2} - 2 m - 3

expand (d+1)^4 expand

(d + 1)^{4}

simplify ((sin^2(x))/(cos(x)))^2 simplify

(\frac{sin ^{2} ( x )}{cos ( x )})^{2}

factor 12y+24x factor

12 y + 24 x

Frequently Asked Questions (FAQ)

What is 3^n*9^{n+1} ?
The solution to 3^n*9^{n+1} is 3^{3n+2}