en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 6^{-8}*6^5

Solution

simplify

6^{- 8} \cdot 6^{5}

Solution

\frac{1}{216}

+1

Decimal Notation

0.00462 \dots

Solution steps

6^{- 8} \cdot 6^{5}

Apply exponent rule:

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

6^{- 8} \cdot 6^{5} = 6^{- 8 + 5}

= 6^{- 8 + 5}

Add/Subtract the numbers:

- 8 + 5 = - 3

= 6^{- 3}

Apply exponent rule:

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

6^{- 3} = \frac{1}{6 ^{3}}

= \frac{1}{6 ^{3}}

6^{3} = 216

= \frac{1}{216}

Popular Examples

simplify xe^{-2x}simplify

x e^{- 2 x}

∣ 6 - 3 x ∣ < - 11

factor 3x^2-12x-63 factor

3 x^{2} - 12 x - 63

factor 5n^2-20n+20 factor

5 n^{2} - 20 n + 20

2x+3=3(2x+3)-4x

2 x + 3 = 3 (2 x + 3) - 4 x

Frequently Asked Questions (FAQ)

What is 6^{-8}*6^5 ?
The solution to 6^{-8}*6^5 is 1/216