en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 729^{-5/6}

Solution

simplify

72 9^{- \frac{5}{6}}

Solution

\frac{1}{243}

+1

Decimal Notation

0.00411 \dots

Solution steps

72 9^{- \frac{5}{6}}

Factor the number:

729 = 3^{6}

= (3^{6})^{- \frac{5}{6}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 3^{6 (- \frac{5}{6})}

6 (- \frac{5}{6}) = - 5

= 3^{- 5}

Apply exponent rule:

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

3^{- 5} = \frac{1}{3 ^{5}}

= \frac{1}{3 ^{5}}

3^{5} = 243

= \frac{1}{243}

Popular Examples

simplify 5^{2/3}*5^{1/2}*5^{5/6}simplify

5^{\frac{2}{3}} \cdot 5^{\frac{1}{2}} \cdot 5^{\frac{5}{6}}

- 2 < x - 2 < 2

2 x^{2} + 7 x = 0

factor 32x-50x^{11}factor

32 x - 50 x^{11}

(x-1)/(x+6)>= (x-2)/(x+4)

\frac{x - 1}{x + 6} \geq \frac{x - 2}{x + 4}

Frequently Asked Questions (FAQ)

What is 729^{-5/6} ?
The solution to 729^{-5/6} is 1/243