What is 2.7182^{-2.5}(2.5^4) ?

The solution to 2.7182^{-2.5}(2.5^4) is (625)/(16*2.7182^{2.5)}

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simplify 2.7182^{-2.5}(2.5^4)

simplify

2.718 2^{- 2.5} (2. 5^{4})

\frac{625}{16 \cdot 2.718 2 ^{2.5}}

Decimal Notation

3.20668 \dots

Solution steps

2.718 2^{- 2.5} (2. 5^{4})

Apply rule:

(a) = a

(2. 5^{4}) = 2. 5^{4}

= 2.718 2^{- 2.5} \cdot 2. 5^{4}

Apply exponent rule:

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

2.718 2^{- 2.5} = \frac{1}{2.718 2 ^{2.5}}

= \frac{1}{2.718 2 ^{2.5}} \cdot 2. 5^{4}

2. 5^{4} = 39.0625

= \frac{1}{2.718 2 ^{2.5}} \cdot 39.0625

\frac{1}{2.718 2 ^{2.5}} \cdot 39.0625 = \frac{39.0625}{2.718 2 ^{2.5}}

= \frac{39.0625}{2.718 2 ^{2.5}}

\frac{39.0625}{2.718 2 ^{2.5}} = \frac{390625}{10000 \cdot 2.718 2 ^{2.5}}

= \frac{390625}{10000 \cdot 2.718 2 ^{2.5}}

Factor the number:

390625 = 625 \cdot 625

= \frac{625 \cdot 625}{10000 \cdot 2.718 2 ^{2.5}}

Factor the number:

10000 = 625 \cdot 16

= \frac{625 \cdot 625}{625 \cdot 16 \cdot 2.718 2 ^{2.5}}

Cancel the common factor:

625

= \frac{625}{16 \cdot 2.718 2 ^{2.5}}

p er p an g ka tan (27)

2.16 x 1 0^{- 2}

7.3 \cdot 1 0^{- 16}

6.03 \cdot 1 0^{- 3}

What is 2.7182^{-2.5}(2.5^4) ?
The solution to 2.7182^{-2.5}(2.5^4) is (625)/(16*2.7182^{2.5)}