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Popular >

simplify (0.31)(3)^{-2}

Solution

simplify

(0.31) (3)^{- 2}

Solution

\frac{31}{900}

+1

Decimal Notation

0.03444 \dots

Solution steps

(0.31) \cdot 3^{- 2}

Apply rule:

(a) = a

(0.31) = 0.31

= 0.31 \cdot 3^{- 2}

Apply exponent rule:

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

3^{- 2} = \frac{1}{3 ^{2}}

= 0.31 \cdot \frac{1}{3 ^{2}}

3^{2} = 9

= 0.31 \cdot \frac{1}{9}

0.31 = \frac{31}{100}

= \frac{31}{100} \cdot \frac{1}{9}

\frac{31}{100} \cdot \frac{1}{9} = \frac{31}{900}

= \frac{31}{900}

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Frequently Asked Questions (FAQ)

What is (0.31)(3)^{-2} ?
The solution to (0.31)(3)^{-2} is 31/900