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Popular >

simplify (1+1/100)^{100}

Solution

simplify

(1 + \frac{1}{100})^{100}

Solution

\frac{10 1 ^{100}}{10 0 ^{100}}

+1

Decimal Notation

2.70481 \dots

Solution steps

(1 + \frac{1}{100})^{100}

1 + \frac{1}{100} = \frac{101}{100}

= (\frac{101}{100})^{100}

Apply exponent rule:

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

= \frac{10 1 ^{100}}{10 0 ^{100}}

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Frequently Asked Questions (FAQ)

What is (1+1/100)^{100} ?
The solution to (1+1/100)^{100} is (101^{100})/(100^{100)}