What is 15000(1+0.18)^{-48} ?

The solution to 15000(1+0.18)^{-48} is 5.31808…

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simplify 15000(1+0.18)^{-48}

simplify

15000 (1 + 0.18)^{- 48}

5.31808 \dots

Solution steps

15000 (1 + 0.18)^{- 48}

Apply exponent rule:

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

= 15000 \cdot \frac{1}{( 1 + 0.18 ) ^{48}}

Add the numbers:

1 + 0.18 = 1.18

= 15000 \cdot \frac{1}{1.1 8 ^{48}}

Multiply fractions:

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

= \frac{1 \cdot 15000}{1.1 8 ^{48}}

Multiply the numbers:

1 \cdot 15000 = 15000

= \frac{15000}{1.1 8 ^{48}}

1.1 8^{48} = 2820.56654 \dots

= \frac{15000}{2820.56654 \dots}

Divide the numbers:

\frac{15000}{2820.56654 \dots} = 5.31808 \dots

= 5.31808 \dots

e^{- 0.808}

90 \cdot e^{- 0.4}

0.4 e^{- 4 (0.15)}

e^{(- 0.5 x^{2})}

9.53 \cdot 1 0^{- 5}