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Popular >

simplify 500(1+0.03)^{-4}

Solution

simplify

500 (1 + 0.03)^{- 4}

Solution

444.24352 \dots

Solution steps

500 (1 + 0.03)^{- 4}

Apply exponent rule:

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

= 500 \cdot \frac{1}{( 1 + 0.03 ) ^{4}}

Add the numbers:

1 + 0.03 = 1.03

= 500 \cdot \frac{1}{1.0 3 ^{4}}

Multiply fractions:

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

= \frac{1 \cdot 500}{1.0 3 ^{4}}

Multiply the numbers:

1 \cdot 500 = 500

= \frac{500}{1.0 3 ^{4}}

1.0 3^{4} = 1.12550881

= \frac{500}{1.12550881}

Divide the numbers:

\frac{500}{1.12550881} = 444.24352 \dots

= 444.24352 \dots

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Frequently Asked Questions (FAQ)

What is 500(1+0.03)^{-4} ?
The solution to 500(1+0.03)^{-4} is 444.24352…