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Popular >

simplify 7000(1+0.1)^{-2}

Solution

simplify

7000 (1 + 0.1)^{- 2}

Solution

5785.12396 \dots

Solution steps

7000 (1 + 0.1)^{- 2}

Apply exponent rule:

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

= 7000 \cdot \frac{1}{( 1 + 0.1 ) ^{2}}

Add the numbers:

1 + 0.1 = 1.1

= 7000 \cdot \frac{1}{1. 1 ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 7000}{1. 1 ^{2}}

Multiply the numbers:

1 \cdot 7000 = 7000

= \frac{7000}{1. 1 ^{2}}

1. 1^{2} = 1.21

= \frac{7000}{1.21}

Divide the numbers:

\frac{7000}{1.21} = 5785.12396 \dots

= 5785.12396 \dots

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Frequently Asked Questions (FAQ)

What is 7000(1+0.1)^{-2} ?
The solution to 7000(1+0.1)^{-2} is 5785.12396…