What is 1000000(1+((0.03)/4))^{-4*40} ?

The solution to 1000000(1+((0.03)/4))^{-4*40} is 302545.87074…

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simplify 1000000(1+((0.03)/4))^{-4*40}

simplify

1000000 (1 + (\frac{0.03}{4}))^{- 4 \cdot 40}

302545.87074 \dots

Solution steps

1000000 (1 + (\frac{0.03}{4}))^{- 4 \cdot 40}

Apply exponent rule:

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

= 1000000 \cdot \frac{1}{( \frac{0.03}{4} + 1 ) ^{4 \cdot 40}}

\frac{1}{( 1 + \frac{0.03}{4} ) ^{4 \cdot 40}} = \frac{1}{1.007 5 ^{160}}

= 1000000 \cdot \frac{1}{1.007 5 ^{160}}

Multiply fractions:

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

= \frac{1 \cdot 1000000}{1.007 5 ^{160}}

Multiply the numbers:

1 \cdot 1000000 = 1000000

= \frac{1000000}{1.007 5 ^{160}}

1.007 5^{160} = 3.30528 \dots

= \frac{1000000}{3.30528 \dots}

Divide the numbers:

\frac{1000000}{3.30528 \dots} = 302545.87074 \dots

= 302545.87074 \dots

e^{- 1^{- 1}}

(1 + 3 x)^{- 0.5}

4 (4.3 \cdot 1 0^{- 3}) (0.06)^{2}

x (x e^{- x})

1.756 \cdot 1 0^{- 15}

What is 1000000(1+((0.03)/4))^{-4*40} ?
The solution to 1000000(1+((0.03)/4))^{-4*40} is 302545.87074…