What is 1800(1+(0.16)/2)^{-4} ?

The solution to 1800(1+(0.16)/2)^{-4} is 78125000/59049

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simplify 1800(1+(0.16)/2)^{-4}

simplify

1800 (1 + \frac{0.16}{2})^{- 4}

\frac{78125000}{59049}

Decimal Notation

1323.05373 \dots

Solution steps

1800 (1 + \frac{0.16}{2})^{- 4}

Apply exponent rule:

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

(1 + \frac{0.16}{2})^{- 4} = \frac{1}{( 1 + \frac{0.16}{2} ) ^{4}}

= 1800 \cdot \frac{1}{( 1 + \frac{0.16}{2} ) ^{4}}

(1 + \frac{0.16}{2})^{4} = \frac{531441}{390625}

= 1800 \cdot \frac{1}{\frac{531441}{390625}}

Apply the fraction rule:

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

= 1800 \cdot \frac{390625}{531441}

1800 \cdot \frac{390625}{531441} = \frac{78125000}{59049}

= \frac{78125000}{59049}

\frac{1}{2} (21 \cdot 1 0^{3} \cdot 0.1963 \cdot 10) (\frac{0.13}{10})^{2}

e^{- \frac{x ^{2}}{2}} \frac{d z}{d x}

(11 x) (10 x^{2})

- 110 (0.023) e^{(- 0.023 \cdot 3)}

What is 1800(1+(0.16)/2)^{-4} ?
The solution to 1800(1+(0.16)/2)^{-4} is 78125000/59049