en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3^0*3^{-3}

Solution

simplify

3^{0} \cdot 3^{- 3}

Solution

\frac{1}{27}

+1

Decimal Notation

0.03703 \dots

Solution steps

3^{0} \cdot 3^{- 3}

Apply exponent rule:

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

3^{0} \cdot 3^{- 3} = 3^{0 - 3}

= 3^{0 - 3}

Subtract the numbers:

0 - 3 = - 3

= 3^{- 3}

Apply exponent rule:

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

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

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

3^{3} = 27

= \frac{1}{27}

Popular Examples

simplify-14-8*0.5+0.75 simplify

- 14 - 8 \cdot 0.5 + 0.75

\frac{3}{8} \div \frac{1}{8}

simplify 2x*2x*2x simplify

2 x \cdot 2 x \cdot 2 x

factor 6x^2-3x^3 factor

6 x^{2} - 3 x^{3}

simplify 2/(3+sqrt(6))simplify

\frac{2}{3 + 6}

Frequently Asked Questions (FAQ)

What is 3^0*3^{-3} ?
The solution to 3^0*3^{-3} is 1/27