en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 10^3*10^{-6}

Solution

simplify

1 0^{3} \cdot 1 0^{- 6}

Solution

\frac{1}{1000}

+1

Decimal Notation

0.001

Solution steps

1 0^{3} \cdot 1 0^{- 6}

Apply exponent rule:

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

1 0^{3} \cdot 1 0^{- 6} = 1 0^{3 - 6}

= 1 0^{3 - 6}

Subtract the numbers:

3 - 6 = - 3

= 1 0^{- 3}

Apply exponent rule:

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

1 0^{- 3} = \frac{1}{1 0 ^{3}}

= \frac{1}{1 0 ^{3}}

1 0^{3} = 1000

= \frac{1}{1000}

Popular Examples

simplify (4^{-1}x^{-2})/((4x)^2)simplify

\frac{4 ^{- 1} x ^{- 2}}{( 4 x ) ^{2}}

simplify sqrt(50)-sqrt(18)+sqrt(32)simplify

50 - 18 + 32

expand a^2b(2ax-3by-ab^2)expand

a^{2} b (2 a x - 3 b y - a b^{2})

simplify (sqrt(72))/3+sqrt(50)simplify

\frac{72}{3} + 50

simplify sqrt(64)+sqrt(36)simplify

64 + 36

Frequently Asked Questions (FAQ)

What is 10^3*10^{-6} ?
The solution to 10^3*10^{-6} is 1/1000