What is 2.61704*(1/2)^{1000/24100} ?

The solution to 2.61704*(1/2)^{1000/24100} is (32713)/(12500*2^{10/241)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2.61704*(1/2)^{1000/24100}

simplify

2.61704 \cdot (\frac{1}{2})^{\frac{1000}{24100}}

\frac{32713}{12500 \cdot 2 ^{\frac{10}{241}}}

Decimal Notation

2.54284 \dots

Solution steps

2.61704 (\frac{1}{2})^{\frac{1000}{24100}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{1}{2})^{\frac{1000}{24100}} = \frac{1 ^{\frac{1000}{24100}}}{2 ^{\frac{1000}{24100}}}

= 2.61704 \cdot \frac{1 ^{\frac{1000}{24100}}}{2 ^{\frac{1000}{24100}}}

1^{\frac{1000}{24100}} = 1

= 2.61704 \cdot \frac{1}{2 ^{\frac{1000}{24100}}}

Cancel

\frac{1000}{24100} : \frac{10}{241}

= 2.61704 \cdot \frac{1}{2 ^{\frac{10}{241}}}

2.61704 \cdot \frac{1}{2 ^{\frac{10}{241}}} = \frac{2.61704}{2 ^{\frac{10}{241}}}

= \frac{2.61704}{2 ^{\frac{10}{241}}}

\frac{2.61704}{2 ^{\frac{10}{241}}} = \frac{261704}{100000 \cdot 2 ^{\frac{10}{241}}}

= \frac{261704}{100000 \cdot 2 ^{\frac{10}{241}}}

Factor the number:

261704 = 8 \cdot 32713

= \frac{8 \cdot 32713}{100000 \cdot 2 ^{\frac{10}{241}}}

Factor the number:

100000 = 8 \cdot 12500

= \frac{8 \cdot 32713}{8 \cdot 12500 \cdot 2 ^{\frac{10}{241}}}

Cancel the common factor:

8

= \frac{32713}{12500 \cdot 2 ^{\frac{10}{241}}}

- 0.5244 = \frac{x - 54}{16}

3 + a < 2

35 x + 10 = 150

x - 2 \leq 4 x + 7

\frac{x}{π ( 2 0 ^{2} )} = (71) (\frac{0.023}{20}) (0.33)

What is 2.61704*(1/2)^{1000/24100} ?
The solution to 2.61704*(1/2)^{1000/24100} is (32713)/(12500*2^{10/241)}