What is 44(1+0.0156)^{-182} ?

The solution to 44(1+0.0156)^{-182} is 2.62979…

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simplify 44(1+0.0156)^{-182}

simplify

44 (1 + 0.0156)^{- 182}

2.62979 \dots

Solution steps

44 (1 + 0.0156)^{- 182}

Apply exponent rule:

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

= 44 \cdot \frac{1}{( 1 + 0.0156 ) ^{182}}

Add the numbers:

1 + 0.0156 = 1.0156

= 44 \cdot \frac{1}{1.015 6 ^{182}}

Multiply fractions:

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

= \frac{1 \cdot 44}{1.015 6 ^{182}}

Multiply the numbers:

1 \cdot 44 = 44

= \frac{44}{1.015 6 ^{182}}

1.015 6^{182} = 16.73131 \dots

= \frac{44}{16.73131 \dots}

Divide the numbers:

\frac{44}{16.73131 \dots} = 2.62979 \dots

= 2.62979 \dots

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