What is 5.1823^{1/100}-1 ?

The solution to 5.1823^{1/100}-1 is (51823^{1/100})/(10^{1/25)}-1

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simplify 5.1823^{1/100}-1

simplify

5.182 3^{\frac{1}{100}} - 1

\frac{5182 3 ^{\frac{1}{100}}}{1 0 ^{\frac{1}{25}}} - 1

Decimal Notation

0.01658 \dots

Solution steps

5.182 3^{\frac{1}{100}} - 1

5.1823 = \frac{51823}{10000}

= (\frac{51823}{10000})^{\frac{1}{100}} - 1

Apply exponent rule:

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

(\frac{51823}{10000})^{\frac{1}{100}} = \frac{5182 3 ^{\frac{1}{100}}}{1000 0 ^{\frac{1}{100}}}

= \frac{5182 3 ^{\frac{1}{100}}}{1000 0 ^{\frac{1}{100}}} - 1

1000 0^{\frac{1}{100}} = 1 0^{\frac{1}{25}}

= \frac{5182 3 ^{\frac{1}{100}}}{1 0 ^{\frac{1}{25}}} - 1

3 x^{2} - 10 x - 77

x^{2} \leq 2 x + 15

7 x^{2} + 21 x = 0

\frac{p ^{8} q ^{3}}{p ^{4} q ^{12}}

x^{2} + 9

What is 5.1823^{1/100}-1 ?
The solution to 5.1823^{1/100}-1 is (51823^{1/100})/(10^{1/25)}-1