What is [1+(1/100)]^{100} ?

The solution to [1+(1/100)]^{100} is (101^{100})/(100^{100)}

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

simplify

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

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

Decimal Notation

2.70481 \dots

Solution steps

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

Apply rule:

(a) = a

(\frac{1}{100}) = \frac{1}{100}

= (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}}

2 x^{2} + 5 x - 4 > - 2 x

2 x^{2} + 7 x < - 5

\frac{2 ^{x}}{2 ^{x + 1}}

\frac{2 b ^{2} - 1}{b} - b + 5

5 x^{2} - 11 x + 2 = 0

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