What is 2.718^{-1.65}*1.65^2 ?

The solution to 2.718^{-1.65}*1.65^2 is (1089)/(400*2.718^{1.65)}

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simplify 2.718^{-1.65}*1.65^2

simplify

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

\frac{1089}{400 \cdot 2.71 8 ^{1.65}}

Decimal Notation

0.52294 \dots

Solution steps

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

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^{2}

1.6 5^{2} = 2.7225

= \frac{1}{2.71 8 ^{1.65}} \cdot 2.7225

\frac{1}{2.71 8 ^{1.65}} \cdot 2.7225 = \frac{2.7225}{2.71 8 ^{1.65}}

= \frac{2.7225}{2.71 8 ^{1.65}}

\frac{2.7225}{2.71 8 ^{1.65}} = \frac{27225}{10000 \cdot 2.71 8 ^{1.65}}

= \frac{27225}{10000 \cdot 2.71 8 ^{1.65}}

Factor the number:

27225 = 25 \cdot 1089

= \frac{25 \cdot 1089}{10000 \cdot 2.71 8 ^{1.65}}

Factor the number:

10000 = 25 \cdot 400

= \frac{25 \cdot 1089}{25 \cdot 400 \cdot 2.71 8 ^{1.65}}

Cancel the common factor:

25

= \frac{1089}{400 \cdot 2.71 8 ^{1.65}}

5.47 x 1 0^{- 2}

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

3.1 \cdot 1 0^{- 6}

f (x) = 9^{16 x^{2}}

What is 2.718^{-1.65}*1.65^2 ?
The solution to 2.718^{-1.65}*1.65^2 is (1089)/(400*2.718^{1.65)}