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Popular >

simplify 2e^{-6}*2e^9

Solution

simplify

2 e^{- 6} \cdot 2 e^{9}

Solution

4 e^{3}

+1

Decimal Notation

80.34214 \dots

Solution steps

2 e^{- 6} \cdot 2 e^{9}

Apply exponent rule:

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

2 \cdot 2 = 2^{1 + 1}

= e^{- 6} \cdot 2^{1 + 1} e^{9}

Add the numbers:

1 + 1 = 2

= e^{- 6} \cdot 2^{2} e^{9}

Apply exponent rule:

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

e^{- 6} e^{9} = e^{- 6 + 9}

= 2^{2} e^{- 6 + 9}

Add/Subtract the numbers:

- 6 + 9 = 3

= 2^{2} e^{3}

2^{2} = 4

= 4 e^{3}

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Frequently Asked Questions (FAQ)

What is 2e^{-6}*2e^9 ?
The solution to 2e^{-6}*2e^9 is 4e^3