en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 243^{-4/5}0.0331/5

Solution

simplify

24 3^{- \frac{4}{5}} \cdot 0.033 \cdot \frac{1}{5}

Solution

\frac{11}{135000}

+1

Decimal Notation

0.00008 \dots

Solution steps

24 3^{- \frac{4}{5}} \cdot 0.033 \cdot \frac{1}{5}

0.033 = \frac{33}{1000}

= 24 3^{- \frac{4}{5}} \cdot \frac{33}{1000} \cdot \frac{1}{5}

Factor the number:

243 = 3^{5}

= (3^{5})^{- \frac{4}{5}} \frac{33}{1000} \cdot \frac{1}{5}

Apply exponent rule:

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

(3^{5})^{- \frac{4}{5}} = 3^{5 (- \frac{4}{5})}

= 3^{5 (- \frac{4}{5})} \cdot \frac{33}{1000} \cdot \frac{1}{5}

5 (- \frac{4}{5}) = - 4

= 3^{- 4} \cdot \frac{33}{1000} \cdot \frac{1}{5}

Apply exponent rule:

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

3^{- 4} = \frac{1}{3 ^{4}}

= \frac{1}{3 ^{4}} \cdot \frac{33}{1000} \cdot \frac{1}{5}

3^{4} = 81

= \frac{1}{81} \cdot \frac{33}{1000} \cdot \frac{1}{5}

\frac{1}{81} \cdot \frac{33}{1000} \cdot \frac{1}{5} = \frac{11}{135000}

= \frac{11}{135000}

Popular Examples

simplify 3\sqrt[3]{x}*\sqrt[3]{x^2}simplify

simplify 8.5*10^{-4}simplify

8.5 \cdot 1 0^{- 4}

simplify 8.5*10^{-8}simplify

8.5 \cdot 1 0^{- 8}

simplify 0.0146*10^{-4}simplify

0.0146 \cdot 1 0^{- 4}

simplify e^{(-6t)}u(4e^5t-cos(2t))simplify

e^{(- 6 t)} u (4 e^{5} t - cos (2 t))

Frequently Asked Questions (FAQ)

What is 243^{-4/5}*0.033*1/5 ?
The solution to 243^{-4/5}*0.033*1/5 is 11/135000