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C) 2.5-1.4 x 1.4 x 1.4 2.5 x 2.5 x (2.5)² + 2.5 x 1.4+ (1.4)²

C) 2.5-1.4 x 1.4 x 1.4 2.5 x 2.5 x (2.5)² + 2.5 x 1.4+ (1.4)²-example-1
User Crolle
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1 Answer

12 votes
12 votes

We will have the following:


\begin{gathered} (2.5\ast2.5\ast2.5-1.4\ast1.4\ast1.4)/((2.5)^2+2.5\ast1.4+(1.4)^2)=(15.625-2.744)/(6.25+3.5+1.96) \\ \\ =1.1 \end{gathered}

So, the simplification is equal to 1.1.

***Explanation***


\frac{2.5\operatorname{\ast}2.5\operatorname{\ast}2.5-1.4\operatorname{\ast}1.4\operatorname{\ast}1.4}{(2.5)^2+2.5\operatorname{\ast}1.4+(1.4)^2}

First, we multiply all the values that are asked to be multiplied, and we also operate all the exponents. [We recall that a value at the power of a number is the number of times the value is multiplied by itself], then we get that:


\frac{2.5\ast2.5\operatorname{\ast}2.5-1.4\operatorname{\ast}1.4\operatorname{\ast}1.4}{(2.5\ast2.5)+2.5\operatorname{\ast}1.4+(1.4\ast1.4)}=(15.625-2.744)/(6.25+3.5+1.96)

Finally we operate the simpler and lower in the hierarchy of operations expressions:

User Moritzschaefer
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