en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 55*(1+0.05)^{-2}

Solution

simplify

55 \cdot (1 + 0.05)^{- 2}

Solution

49.88662 \dots

Solution steps

55 (1 + 0.05)^{- 2}

Apply exponent rule:

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

= 55 \cdot \frac{1}{( 1 + 0.05 ) ^{2}}

Add the numbers:

1 + 0.05 = 1.05

= 55 \cdot \frac{1}{1.0 5 ^{2}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 55}{1.0 5 ^{2}}

Multiply the numbers:

1 \cdot 55 = 55

= \frac{55}{1.0 5 ^{2}}

1.0 5^{2} = 1.1025

= \frac{55}{1.1025}

Divide the numbers:

\frac{55}{1.1025} = 49.88662 \dots

= 49.88662 \dots

Popular Examples

simplify 1*10^{-3}*138.5 simplify

1 \cdot 1 0^{- 3} \cdot 138.5

simplify e^{-4ln|x-1|}simplify

e^{- 4 l n ∣ x - 1 ∣}

simplify (5xy^3)(3x^3y)simplify

(5 x y^{3}) (3 x^{3} y)

simplify e^{-(log_{e}(2))/(10)}simplify

e^{- \frac{l o g _{e} ( 2 )}{10}}

simplify e^{-y}*(-e^y)simplify

e^{- y} \cdot (- e^{y})

Frequently Asked Questions (FAQ)

What is 55*(1+0.05)^{-2} ?
The solution to 55*(1+0.05)^{-2} is 49.88662…