What is 2.718^{-1.65}*1.65^3 ?

The solution to 2.718^{-1.65}*1.65^3 is (35937)/(8000*2.718^{1.65)}

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simplify 2.718^{-1.65}*1.65^3

simplify

2.71 8^{- 1.65} \cdot 1.6 5^{3}

\frac{35937}{8000 \cdot 2.71 8 ^{1.65}}

Decimal Notation

0.86285 \dots

Solution steps

2.71 8^{- 1.65} \cdot 1.6 5^{3}

Apply exponent rule:

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

2.71 8^{- 1.65} = \frac{1}{2.71 8 ^{1.65}}

= \frac{1}{2.71 8 ^{1.65}} \cdot 1.6 5^{3}

1.6 5^{3} = 4.492125

= \frac{1}{2.71 8 ^{1.65}} \cdot 4.492125

\frac{1}{2.71 8 ^{1.65}} \cdot 4.492125 = \frac{4.492125}{2.71 8 ^{1.65}}

= \frac{4.492125}{2.71 8 ^{1.65}}

\frac{4.492125}{2.71 8 ^{1.65}} = \frac{4492125}{1000000 \cdot 2.71 8 ^{1.65}}

= \frac{4492125}{1000000 \cdot 2.71 8 ^{1.65}}

Factor the number:

4492125 = 125 \cdot 35937

= \frac{125 \cdot 35937}{1000000 \cdot 2.71 8 ^{1.65}}

Factor the number:

1000000 = 125 \cdot 8000

= \frac{125 \cdot 35937}{125 \cdot 8000 \cdot 2.71 8 ^{1.65}}

Cancel the common factor:

125

= \frac{35937}{8000 \cdot 2.71 8 ^{1.65}}

\frac{( x + 1 ) ^{- 3}}{( x + 1 ) ^{- 2}}

(9.11 \cdot 1 0^{- 31}) (0.95 c)

2.71 8^{- 1.65} \cdot 1.6 5^{2}

5.47 x 1 0^{- 2}

2.71 8^{- 1.65} \cdot 1.6 5^{1}

What is 2.718^{-1.65}*1.65^3 ?
The solution to 2.718^{-1.65}*1.65^3 is (35937)/(8000*2.718^{1.65)}