en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3^3*3^{-5}

Solution

simplify

3^{3} \cdot 3^{- 5}

Solution

\frac{1}{9}

+1

Decimal Notation

0.11111 \dots

Solution steps

3^{3} \cdot 3^{- 5}

Apply exponent rule:

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

3^{3} \cdot 3^{- 5} = 3^{3 - 5}

= 3^{3 - 5}

Subtract the numbers:

3 - 5 = - 2

= 3^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

3^{- 2} = \frac{1}{3 ^{2}}

= \frac{1}{3 ^{2}}

3^{2} = 9

= \frac{1}{9}

Popular Examples

simplify 1/(\sqrt[5]{2)}simplify

3 x^{2} - 9 x - 8 = 0

simplify 9*25 simplify

9 \cdot 25

(x-2)/(x-1)<= (x+2)/(x+1)

\frac{x - 2}{x - 1} \leq \frac{x + 2}{x + 1}

(x-5)(x-2)^2(x-7)>= 0

(x - 5) (x - 2)^{2} (x - 7) \geq 0

Frequently Asked Questions (FAQ)

What is 3^3*3^{-5} ?
The solution to 3^3*3^{-5} is 1/9