simplify e^{-3}*3^0

Solution

simplify

e^{- 3} \cdot 3^{0}

\frac{1}{e ^{3}}

Decimal Notation

0.04978 \dots

Solution steps

e^{- 3} \cdot 3^{0}

Apply exponent rule:

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

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

Apply rule

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

3^{0} = 1

= 1 \cdot \frac{1}{e ^{3}}

Multiply:

\frac{1}{e ^{3}} \cdot 1 = \frac{1}{e ^{3}}

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

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