What is 0.0241^{-1/2}*1.3293400000000… ?

The solution to 0.0241^{-1/2}*1.3293400000000… is (66467)/(500*241^{1/2)}

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simplify 0.0241^{-1/2}*1.3293400000000…

simplify

0.024 1^{- \frac{1}{2}} \cdot 1.3293400000000 \dots

\frac{66467}{500 \cdot 24 1 ^{\frac{1}{2}}}

Solution steps

0.024 1^{- \frac{1}{2}} \cdot 1.32934

Apply exponent rule:

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

0.024 1^{- \frac{1}{2}} = \frac{1}{0.024 1 ^{\frac{1}{2}}}

= \frac{1}{0.024 1 ^{\frac{1}{2}}} \cdot 1.32934

0.024 1^{\frac{1}{2}} = \frac{24 1 ^{\frac{1}{2}}}{100}

= \frac{1}{\frac{24 1 ^{\frac{1}{2}}}{100}} \cdot 1.32934

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{100}{24 1 ^{\frac{1}{2}}} \cdot 1.32934

\frac{100}{24 1 ^{\frac{1}{2}}} \cdot 1.32934 = \frac{132.934}{24 1 ^{\frac{1}{2}}}

= \frac{132.934}{24 1 ^{\frac{1}{2}}}

\frac{132.934}{24 1 ^{\frac{1}{2}}} = \frac{132934}{1000 \cdot 24 1 ^{\frac{1}{2}}}

= \frac{132934}{1000 \cdot 24 1 ^{\frac{1}{2}}}

Factor the number:

132934 = 2 \cdot 66467

= \frac{2 \cdot 66467}{1000 \cdot 24 1 ^{\frac{1}{2}}}

Factor the number:

1000 = 2 \cdot 500

= \frac{2 \cdot 66467}{2 \cdot 500 \cdot 24 1 ^{\frac{1}{2}}}

Cancel the common factor:

2

= \frac{66467}{500 \cdot 24 1 ^{\frac{1}{2}}}

(\frac{6.9}{3}) \cdot (\frac{1 0 ^{- 1}}{1 0 ^{3}})

(9.89 \cdot 1 0^{- 7}) (- \frac{2}{2})

4 \cdot e^{- 1}

What is 0.0241^{-1/2}*1.3293400000000… ?
The solution to 0.0241^{-1/2}*1.3293400000000… is (66467)/(500*241^{1/2)}