What is 7500(1+(1.5)/(36))^{-12*3} ?

The solution to 7500(1+(1.5)/(36))^{-12*3} is (12*24^{36})/(25^{34)}

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simplify 7500(1+(1.5)/(36))^{-12*3}

simplify

7500 (1 + \frac{1.5}{36})^{- 12 \cdot 3}

\frac{12 \cdot 2 4 ^{36}}{2 5 ^{34}}

Decimal Notation

1725.14519 \dots

Solution steps

7500 (1 + \frac{1.5}{36})^{- 12 \cdot 3}

Apply exponent rule:

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

(1 + \frac{1.5}{36})^{- 12 \cdot 3} = \frac{1}{( 1 + \frac{1.5}{36} ) ^{12 \cdot 3}}

= 7500 \cdot \frac{1}{( 1 + \frac{1.5}{36} ) ^{12 \cdot 3}}

(1 + \frac{1.5}{36})^{12 \cdot 3} = \frac{2 5 ^{36}}{2 4 ^{36}}

= 7500 \cdot \frac{1}{\frac{2 5 ^{36}}{2 4 ^{36}}}

Apply the fraction rule:

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

= 7500 \cdot \frac{2 4 ^{36}}{2 5 ^{36}}

7500 \cdot \frac{2 4 ^{36}}{2 5 ^{36}} = \frac{12 \cdot 2 4 ^{36}}{2 5 ^{34}}

= \frac{12 \cdot 2 4 ^{36}}{2 5 ^{34}}

2^{- 2}

- 13 x^{3} y^{3}

4^{- 2 (\frac{l n ( 3 )}{2 l n ( 2 )})}

e^{- 0.5 x^{2}}

What is 7500(1+(1.5)/(36))^{-12*3} ?
The solution to 7500(1+(1.5)/(36))^{-12*3} is (12*24^{36})/(25^{34)}