What is 7x^{-8}*6x^3 ?

The solution to 7x^{-8}*6x^3 is (42)/(x^5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 7x^{-8}*6x^3

simplify

7 x^{- 8} \cdot 6 x^{3}

\frac{42}{x ^{5}}

Solution steps

7 x^{- 8} \cdot 6 x^{3}

Multiply the numbers:

7 \cdot 6 = 42

= 42 x^{- 8} x^{3}

Apply exponent rule:

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

x^{- 8} x^{3} = x^{- 8 + 3}

= 42 x^{- 8 + 3}

Add/Subtract the numbers:

- 8 + 3 = - 5

= 42 x^{- 5}

Apply exponent rule:

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

x^{- 5} = \frac{1}{x ^{5}}

= 42 \cdot \frac{1}{x ^{5}}

Simplify

42 \cdot \frac{1}{x ^{5}} : \frac{42}{x ^{5}}

= \frac{42}{x ^{5}}

6 x^{2} + 35 x + 36

3 x^{2} + 4 x - 7 = 0

k - 2 > 1

2 x^{2} + x - 10 > 0

x^{3} + 2 x^{2} + 2 x + 1