What is (8e^{-2}f)(5e^6f^{-3}) ?

The solution to (8e^{-2}f)(5e^6f^{-3}) is (40e^4)/(f^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (8e^{-2}f)(5e^6f^{-3})

simplify

(8 e^{- 2} f) (5 e^{6} f^{- 3})

\frac{40 e ^{4}}{f ^{2}}

Solution steps

(8 e^{- 2} f) (5 e^{6} f^{- 3})

Apply exponent rule:

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

e^{- 2} e^{6} = e^{- 2 + 6}

= 8 f \cdot 5 e^{- 2 + 6} f^{- 3}

Add/Subtract the numbers:

- 2 + 6 = 4

= 8 f \cdot 5 e^{4} f^{- 3}

Apply exponent rule:

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

f f^{- 3} = f^{1 - 3}

= 8 \cdot 5 e^{4} f^{1 - 3}

Subtract the numbers:

1 - 3 = - 2

= 8 \cdot 5 e^{4} f^{- 2}

Apply exponent rule:

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

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

= 8 \cdot 5 e^{4} \frac{1}{f ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 8 \cdot 5 e ^{4}}{f ^{2}}

Multiply the numbers:

1 \cdot 8 \cdot 5 = 40

= \frac{40 e ^{4}}{f ^{2}}

\frac{z ^{2}}{( z - 2 ) ^{2}}

3.012 x 1 0^{- 8}

e^{- s t} \cdot 2

700 \cdot 1.6 \cdot 1 0^{- 19}

What is (8e^{-2}f)(5e^6f^{-3}) ?
The solution to (8e^{-2}f)(5e^6f^{-3}) is (40e^4)/(f^2)