What is 7200(1+0.11)^{-4} ?

The solution to 7200(1+0.11)^{-4} is 4742.86301…

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simplify 7200(1+0.11)^{-4}

simplify

7200 (1 + 0.11)^{- 4}

4742.86301 \dots

Solution steps

7200 (1 + 0.11)^{- 4}

Apply exponent rule:

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

= 7200 \cdot \frac{1}{( 1 + 0.11 ) ^{4}}

Add the numbers:

1 + 0.11 = 1.11

= 7200 \cdot \frac{1}{1.1 1 ^{4}}

Multiply fractions:

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

= \frac{1 \cdot 7200}{1.1 1 ^{4}}

Multiply the numbers:

1 \cdot 7200 = 7200

= \frac{7200}{1.1 1 ^{4}}

1.1 1^{4} = 1.51807041

= \frac{7200}{1.51807041}

Divide the numbers:

\frac{7200}{1.51807041} = 4742.86301 \dots

= 4742.86301 \dots

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