What is (5.7e^{-5})(4.56e^5) ?

The solution to (5.7e^{-5})(4.56e^5) is 25.992

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simplify (5.7e^{-5})(4.56e^5)

simplify

(5.7 e^{- 5}) (4.56 e^{5})

25.992

Solution steps

(5.7 e^{- 5}) (4.56 e^{5})

Apply exponent rule:

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

e^{- 5} e^{5} = e^{- 5 + 5}

= 5.7 \cdot 4.56 e^{- 5 + 5}

Add/Subtract the numbers:

- 5 + 5 = 0

= 5.7 \cdot 4.56 e^{0}

Apply rule

a^{0} = 1, a \neq = 0

e^{0} = 1

= 1 \cdot 4.56 \cdot 5.7

Multiply the numbers:

5.7 \cdot 4.56 \cdot 1 = 25.992

= 25.992

0.005 (1 0^{- 15})

e^{- 2 t} \cdot u (t)

0.474 \cdot 1 0^{- 3} \cdot 210

0.13 \cdot (5.67 \cdot 1 0^{- 8})

6^{7} \cdot 2^{7}