What is pi^{-0.5}(52.9)^{-1.5}e^0 ?

The solution to pi^{-0.5}(52.9)^{-1.5}e^0 is 0.00146…

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simplify pi^{-0.5}(52.9)^{-1.5}e^0

simplify

π^{- 0.5} (52.9)^{- 1.5} e^{0}

0.00146 \dots

Solution steps

π^{- 0.5} (52.9)^{- 1.5} e^{0}

Apply exponent rule:

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

= 52. 9^{- 1.5} e^{0} \frac{1}{π}

Apply exponent rule:

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

= e^{0} \frac{1}{π} \cdot \frac{1}{52. 9 ^{1.5}}

Apply rule

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

e^{0} = 1

= 1 \cdot \frac{1}{π} \cdot \frac{1}{52. 9 ^{1.5}}

Multiply fractions:

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

= 1 \cdot \frac{1 \cdot 1}{52. 9 ^{1.5} π}

\frac{1 \cdot 1}{π \cdot 52. 9 ^{1.5}} = 0.00146 \dots

= 1 \cdot 0.00146 \dots

Multiply the numbers:

1 \cdot 0.00146 \dots = 0.00146 \dots

= 0.00146 \dots

121 e^{- 0.0294}

2 π \cdot 2 π

a \cdot a - b - 1

2522 \cdot 0.7 6^{- 1}

7.1 \cdot 1 0^{- 2}

What is pi^{-0.5}(52.9)^{-1.5}e^0 ?
The solution to pi^{-0.5}(52.9)^{-1.5}e^0 is 0.00146…