What is 2153.5*3.2^{-0.1625} ?

The solution to 2153.5*3.2^{-0.1625} is (4307)/(2*3.2^{0.1625)}

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simplify 2153.5*3.2^{-0.1625}

simplify

2153.5 \cdot 3. 2^{- 0.1625}

\frac{4307}{2 \cdot 3. 2 ^{0.1625}}

Decimal Notation

1782.61683 \dots

Solution steps

2153.5 \cdot 3. 2^{- 0.1625}

Apply exponent rule:

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

3. 2^{- 0.1625} = \frac{1}{3. 2 ^{0.1625}}

= 2153.5 \cdot \frac{1}{3. 2 ^{0.1625}}

2153.5 \cdot \frac{1}{3. 2 ^{0.1625}} = \frac{2153.5}{3. 2 ^{0.1625}}

= \frac{2153.5}{3. 2 ^{0.1625}}

\frac{2153.5}{3. 2 ^{0.1625}} = \frac{21535}{10 \cdot 3. 2 ^{0.1625}}

= \frac{21535}{10 \cdot 3. 2 ^{0.1625}}

Factor the number:

21535 = 5 \cdot 4307

= \frac{5 \cdot 4307}{10 \cdot 3. 2 ^{0.1625}}

Factor the number:

10 = 5 \cdot 2

= \frac{5 \cdot 4307}{5 \cdot 2 \cdot 3. 2 ^{0.1625}}

Cancel the common factor:

5

= \frac{4307}{2 \cdot 3. 2 ^{0.1625}}

- 3 x (8 x^{2})

- 4 e^{- 2 \cdot (0)}

800 e^{- 0.0244 (57)}

15 \cdot 2.87 \cdot 1 0^{- 6}

What is 2153.5*3.2^{-0.1625} ?
The solution to 2153.5*3.2^{-0.1625} is (4307)/(2*3.2^{0.1625)}