What is 2500(1+0.07)^{-7} ?

The solution to 2500(1+0.07)^{-7} is 1556.87435…

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simplify 2500(1+0.07)^{-7}

simplify

2500 (1 + 0.07)^{- 7}

1556.87435 \dots

Solution steps

2500 (1 + 0.07)^{- 7}

Apply exponent rule:

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

= 2500 \cdot \frac{1}{( 1 + 0.07 ) ^{7}}

Add the numbers:

1 + 0.07 = 1.07

= 2500 \cdot \frac{1}{1.0 7 ^{7}}

Multiply fractions:

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

= \frac{1 \cdot 2500}{1.0 7 ^{7}}

Multiply the numbers:

1 \cdot 2500 = 2500

= \frac{2500}{1.0 7 ^{7}}

1.0 7^{7} = 1.60578 \dots

= \frac{2500}{1.60578 \dots}

Divide the numbers:

\frac{2500}{1.60578 \dots} = 1556.87435 \dots

= 1556.87435 \dots

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