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Popular >

simplify 1200(0.8)^{-2}

Solution

simplify

1200 (0.8)^{- 2}

Solution

1875

Solution steps

1200 \cdot 0. 8^{- 2}

Apply exponent rule:

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

0. 8^{- 2} = \frac{1}{0. 8 ^{2}}

= 1200 \cdot \frac{1}{0. 8 ^{2}}

0. 8^{2} = 0.64

= 1200 \cdot \frac{1}{0.64}

Divide the numbers:

\frac{1}{0.64} = 1.5625

= 1200 \cdot 1.5625

Multiply the numbers:

1200 \cdot 1.5625 = 1875

= 1875

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Frequently Asked Questions (FAQ)

What is 1200(0.8)^{-2} ?
The solution to 1200(0.8)^{-2} is 1875