What is 1-(1+(0.075)/(12))^{-120} ?

The solution to 1-(1+(0.075)/(12))^{-120} is 1-(160^{120})/(161^{120)}

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simplify 1-(1+(0.075)/(12))^{-120}

simplify

1 - (1 + \frac{0.075}{12})^{- 120}

1 - \frac{16 0 ^{120}}{16 1 ^{120}}

Decimal Notation

0.52652 \dots

Solution steps

1 - (1 + \frac{0.075}{12})^{- 120}

Apply exponent rule:

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

(1 + \frac{0.075}{12})^{- 120} = \frac{1}{( 1 + \frac{0.075}{12} ) ^{120}}

= 1 - \frac{1}{( 1 + \frac{0.075}{12} ) ^{120}}

(1 + \frac{0.075}{12})^{120} = \frac{16 1 ^{120}}{16 0 ^{120}}

= 1 - \frac{1}{\frac{16 1 ^{120}}{16 0 ^{120}}}

Apply the fraction rule:

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

= 1 - \frac{16 0 ^{120}}{16 1 ^{120}}

∣ 10 x ∣ > - 2

5 z^{2} - 17 z + 10 = 0

5 x^{2} + 3 = 83

9 x^{2} + 1 = 6 x

What is 1-(1+(0.075)/(12))^{-120} ?
The solution to 1-(1+(0.075)/(12))^{-120} is 1-(160^{120})/(161^{120)}