What is 2.7182^{-2.5}(2.5^{10}) ?

The solution to 2.7182^{-2.5}(2.5^{10}) is (9765625)/(1024*2.7182^{2.5)}

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simplify 2.7182^{-2.5}(2.5^{10})

simplify

2.718 2^{- 2.5} (2. 5^{10})

\frac{9765625}{1024 \cdot 2.718 2 ^{2.5}}

Decimal Notation

782.88246 \dots

Solution steps

2.718 2^{- 2.5} (2. 5^{10})

Apply rule:

(a) = a

(2. 5^{10}) = 2. 5^{10}

= 2.718 2^{- 2.5} \cdot 2. 5^{10}

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^{10}

2. 5^{10} = 9536.74316 \dots

= \frac{1}{2.718 2 ^{2.5}} \cdot 9536.74316 \dots

\frac{1}{2.718 2 ^{2.5}} \cdot 9536.74316 \dots = \frac{9536.74316 \dots}{2.718 2 ^{2.5}}

= \frac{9536.74316 \dots}{2.718 2 ^{2.5}}

\frac{9536.74316 \dots}{2.718 2 ^{2.5}} = \frac{9.53674 E 13}{10000000000 \cdot 2.718 2 ^{2.5}}

= \frac{9.53674 E 13}{10000000000 \cdot 2.718 2 ^{2.5}}

Factor the number:

9.53674 E 13 = 9765625 \cdot 9765625

= \frac{9765625 \cdot 9765625}{10000000000 \cdot 2.718 2 ^{2.5}}

Factor the number:

10000000000 = 9765625 \cdot 1024

= \frac{9765625 \cdot 9765625}{9765625 \cdot 1024 \cdot 2.718 2 ^{2.5}}

Cancel the common factor:

9765625

= \frac{9765625}{1024 \cdot 2.718 2 ^{2.5}}

(1.2) (10)^{- 3}

(9 z^{8}) (10 z)

0.5

14.011 \cdot 1 0^{- 5}

What is 2.7182^{-2.5}(2.5^{10}) ?
The solution to 2.7182^{-2.5}(2.5^{10}) is (9765625)/(1024*2.7182^{2.5)}