What is 3(17)^6*(e)^{-102/8} ?

The solution to 3(17)^6*(e)^{-102/8} is (72412707)/(e^{51/4)}

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simplify 3(17)^6*(e)^{-102/8}

simplify

3 (17)^{6} \cdot (e)^{- \frac{102}{8}}

\frac{72412707}{e ^{\frac{51}{4}}}

Decimal Notation

210.16487 \dots

Solution steps

3 (17)^{6} (e)^{- \frac{102}{8}}

Apply exponent rule:

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

= 1 7^{6} \cdot 3 \cdot \frac{1}{e ^{\frac{102}{8}}}

\frac{1}{e ^{\frac{102}{8}}} = \frac{1}{e ^{\frac{51}{4}}}

= 1 7^{6} \cdot 3 \cdot \frac{1}{e ^{\frac{51}{4}}}

Multiply fractions:

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

= \frac{1 \cdot 3 \cdot 1 7 ^{6}}{e ^{\frac{51}{4}}}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{1 7 ^{6} \cdot 3}{e ^{\frac{51}{4}}}

3 \cdot 1 7^{6} = 72412707

= \frac{72412707}{e ^{\frac{51}{4}}}

(0.005 θ^{2}) (0.01 θ)

e^{- (95 - 100)}

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

333

0.1 2^{- 1}

What is 3(17)^6*(e)^{-102/8} ?
The solution to 3(17)^6*(e)^{-102/8} is (72412707)/(e^{51/4)}