What is expand 81+18*3^2-54*2^{-2} ?

The solution to expand 81+18*3^2-54*2^{-2} is 459/2

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expand 81+183^2-542^{-2}

expand

81 + 18 \cdot 3^{2} - 54 \cdot 2^{- 2}

\frac{459}{2}

Decimal Notation

229.5

Solution steps

81 + 18 \cdot 3^{2} - 54 \cdot 2^{- 2}

54 \cdot 2^{- 2} = \frac{27}{2}

= 81 + 3^{2} \cdot 18 - \frac{27}{2}

Combine the fractions

81 - \frac{27}{2} : \frac{135}{2}

= 3^{2} \cdot 18 + \frac{135}{2}

18 \cdot 3^{2} = 162

= 162 + \frac{135}{2}

Convert element to fraction:

162 = \frac{162 \cdot 2}{2}

= \frac{162 \cdot 2}{2} + \frac{135}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{162 \cdot 2 + 135}{2}

162 \cdot 2 + 135 = 459

= \frac{459}{2}

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x^{3} (x + 3 + 8 \cdot 3 = 0)

16 x - \frac{x ^{2} ( π + 4 )}{8}

(\cdot + 10) \cdot (x - 10)

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What is expand 81+18*3^2-54*2^{-2} ?
The solution to expand 81+18*3^2-54*2^{-2} is 459/2