en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (5/6)^{6/5}

Solution

simplify

(\frac{5}{6})^{\frac{6}{5}}

Solution

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

+1

Decimal Notation

0.80349 \dots

Solution steps

(\frac{5}{6})^{\frac{6}{5}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{5 ^{\frac{6}{5}}}{6 ^{\frac{6}{5}}}

6^{\frac{6}{5}} = 6 \cdot 6^{\frac{1}{5}}

= \frac{5 ^{\frac{6}{5}}}{6 \cdot 6 ^{\frac{1}{5}}}

5^{\frac{6}{5}} = 5 \cdot 5^{\frac{1}{5}}

= \frac{5 \cdot 5 ^{\frac{1}{5}}}{6 \cdot 6 ^{\frac{1}{5}}}

Popular Examples

factor 2x^2+8x+12 factor

2 x^{2} + 8 x + 12

factor 2x^4-9x^3-12x^2+29x+30 factor

2 x^{4} - 9 x^{3} - 12 x^{2} + 29 x + 30

simplify (21^{63})/(63^{21)}simplify

\frac{2 1 ^{63}}{6 3 ^{21}}

simplify-12f-10(17f-16)simplify

- 12 f - 10 (17 f - 16)

simplify-x^{-3/2}simplify

- x^{- \frac{3}{2}}

Frequently Asked Questions (FAQ)

What is (5/6)^{6/5} ?
The solution to (5/6)^{6/5} is (5*5^{1/5})/(6*6^{1/5)}