What is (2(1))/(8^2)(87)e^{-((1^2+2^2)/(8^2))} ?

The solution to (2(1))/(8^2)(87)e^{-((1^2+2^2)/(8^2))} is (87)/(32e^{5/64)}

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simplify (2(1))/(8^2)(87)e^{-((1^2+2^2)/(8^2))}

simplify

\frac{2 ( 1 )}{8 ^{2}} (87) e^{- (\frac{1 ^{2} + 2 ^{2}}{8 ^{2}})}

\frac{87}{32 e ^{\frac{5}{64}}}

Decimal Notation

2.51443 \dots

Solution steps

\frac{2 ( 1 )}{8 ^{2}} (87) e^{- (\frac{1 ^{2} + 2 ^{2}}{8 ^{2}})}

Apply exponent rule:

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

= 87 \cdot \frac{2 \cdot 1}{8 ^{2}} \cdot \frac{1}{e ^{\frac{1 ^{2} + 2 ^{2}}{8 ^{2}}}}

Apply rule

1^{a} = 1

1^{2} = 1

= 87 \cdot \frac{2 \cdot 1}{8 ^{2}} \cdot \frac{1}{e ^{\frac{2 ^{2} + 1}{8 ^{2}}}}

\frac{2 \cdot 1}{8 ^{2}} = \frac{1}{2 ^{5}}

= 87 \cdot \frac{1}{2 ^{5}} \cdot \frac{1}{e ^{\frac{2 ^{2} + 1}{8 ^{2}}}}

1 + 2^{2} = 5

= 87 \cdot \frac{1}{2 ^{5}} \cdot \frac{1}{e ^{\frac{5}{8 ^{2}}}}

Multiply fractions:

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

= \frac{1 \cdot 1 \cdot 87}{2 ^{5} e ^{\frac{5}{8 ^{2}}}}

Multiply the numbers:

1 \cdot 1 \cdot 87 = 87

= \frac{87}{2 ^{5} e ^{\frac{5}{8 ^{2}}}}

2^{5} e^{\frac{5}{8 ^{2}}} = 32 e^{\frac{5}{64}}

= \frac{87}{32 e ^{\frac{5}{64}}}

0.25683 \cdot 1 0^{- 6}

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

2 \cdot (31.4) \cdot 6.67 \cdot 1 0^{- 8} \cdot 50 (2670 - 1170)

(r - s)^{2} \cdot (r + s)^{2}

(133) \cdot 13

What is (2(1))/(8^2)(87)e^{-((1^2+2^2)/(8^2))} ?
The solution to (2(1))/(8^2)(87)e^{-((1^2+2^2)/(8^2))} is (87)/(32e^{5/64)}