en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand 6^2*6^{-6}

Solution

expand

6^{2} \cdot 6^{- 6}

Solution

\frac{1}{1296}

+1

Decimal Notation

0.00077 \dots

Solution steps

6^{2} \cdot 6^{- 6}

Apply exponent rule:

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

= 6^{2} \cdot \frac{1}{6 ^{6}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 6 ^{2}}{6 ^{6}}

Multiply:

1 \cdot 6^{2} = 6^{2}

= \frac{6 ^{2}}{6 ^{6}}

Apply exponent rule:

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

\frac{6 ^{2}}{6 ^{6}} = \frac{1}{6 ^{6 - 2}}

= \frac{1}{6 ^{6 - 2}}

Subtract the numbers:

6 - 2 = 4

= \frac{1}{6 ^{4}}

6^{4} = 1296

= \frac{1}{1296}

Popular Examples

simplify MLt^{-2}sin(kL^{-2}M^{-1})simplify

M L t^{- 2} sin (k L^{- 2} M^{- 1})

simplify e^{-0.356}*(1^{0.6831})simplify

e^{- 0.356} \cdot (1^{0.6831})

simplify-e^{-4/5}simplify

- e^{- \frac{4}{5}}

simplify 12000000(1+0.025)^{-12}simplify

12000000 (1 + 0.025)^{- 12}

simplify \sqrt[6]{243}^{3/5}simplify

Frequently Asked Questions (FAQ)

What is expand 6^2*6^{-6} ?
The solution to expand 6^2*6^{-6} is 1/1296