What is 5.316*10^{-23}*17.6 ?

The solution to 5.316*10^{-23}*17.6 is (14619)/(5^{23)*1310720000}

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simplify 5.31610^{-23}17.6

simplify

5.316 \cdot 1 0^{- 23} \cdot 17.6

\frac{14619}{5 ^{23} \cdot 1310720000}

Solution steps

5.316 \cdot 1 0^{- 23} \cdot 17.6

Multiply the numbers:

5.316 \cdot 17.6 = 93.5616

= 93.5616 \cdot 1 0^{- 23}

= 1 0^{- 23} \cdot 93.5616

Apply exponent rule:

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

1 0^{- 23} = \frac{1}{1 0 ^{23}}

= \frac{1}{1 0 ^{23}} \cdot 93.5616

\frac{1}{1 0 ^{23}} \cdot 93.5616 = \frac{93.5616}{1 0 ^{23}}

= \frac{93.5616}{1 0 ^{23}}

\frac{93.5616}{1 0 ^{23}} = \frac{935616}{10000 \cdot 1 0 ^{23}}

= \frac{935616}{10000 \cdot 1 0 ^{23}}

Factor the number:

935616 = 16 \cdot 58476

= \frac{16 \cdot 58476}{10000 \cdot 1 0 ^{23}}

Factor the number:

10000 = 16 \cdot 625

= \frac{16 \cdot 58476}{16 \cdot 625 \cdot 1 0 ^{23}}

Cancel the common factor:

16

= \frac{58476}{625 \cdot 1 0 ^{23}}

Factor

58476 : 2^{2} \cdot 14619

= \frac{2 ^{2} \cdot 14619}{625 \cdot 1 0 ^{23}}

Factor

1 0^{23} : 2^{23} \cdot 5^{23}

= \frac{2 ^{2} \cdot 14619}{625 \cdot 2 ^{23} \cdot 5 ^{23}}

\frac{2 ^{2}}{2 ^{23}} = \frac{1}{2 ^{21}}

= \frac{14619}{625 \cdot 2 ^{21} \cdot 5 ^{23}}

625 \cdot 2^{21} \cdot 5^{23} = 5^{23} \cdot 1310720000

= \frac{14619}{5 ^{23} \cdot 1310720000}

4 \cdot 1 0^{- 6} (28.125)

590000 (1 + 0.2259)^{- 6}

10 e^{- 100000 (1 0^{- 6})}

(3 x^{3} y^{2}) (2 x y^{6})

38 \cdot e^{(- 0.2 \cdot 720)}

What is 5.316*10^{-23}*17.6 ?
The solution to 5.316*10^{-23}*17.6 is (14619)/(5^{23)*1310720000}