en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 7^{-5/6}*7^{-7/6}

Solution

simplify

7^{- \frac{5}{6}} \cdot 7^{- \frac{7}{6}}

Solution

\frac{1}{49}

+1

Decimal Notation

0.02040 \dots

Solution steps

7^{- \frac{5}{6}} \cdot 7^{- \frac{7}{6}}

Apply exponent rule:

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

7^{- \frac{5}{6}} \cdot 7^{- \frac{7}{6}} = 7^{- \frac{5}{6} - \frac{7}{6}}

= 7^{- \frac{5}{6} - \frac{7}{6}}

- \frac{5}{6} - \frac{7}{6} = - 2

= 7^{- 2}

Apply exponent rule:

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

7^{- 2} = \frac{1}{7 ^{2}}

= \frac{1}{7 ^{2}}

7^{2} = 49

= \frac{1}{49}

Popular Examples

simplify (1.2)+(-2)simplify

(1.2) + (- 2)

simplify 1/(x+sqrt(x^2+1))(1+x/(sqrt(x^2+1)))simplify

\frac{1}{x + x ^{2} + 1} (1 + \frac{x}{x ^{2} + 1})

simplify log_{10}(a^b)simplify

lo g_{10} (a^{b})

simplify (\sqrt[3]{x^2}*sqrt(x^5))/(\sqrt[6]{x)}simplify

factor 2x^7+16x^6+24x^5 factor

2 x^{7} + 16 x^{6} + 24 x^{5}

Frequently Asked Questions (FAQ)

What is 7^{-5/6}*7^{-7/6} ?
The solution to 7^{-5/6}*7^{-7/6} is 1/49