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Evaluate the expression. 2 13 21 The value of the expression is

Evaluate the expression. 2 13 21 The value of the expression is-example-1

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To solve the exercise you can use the following property of powers


((a)/(b))^n=(a^n)/(b^n)

Then, you have


\begin{gathered} |((-1)/(2))^3/((1)/(4))^2|=|((-1)^3)/((2)^3)^{}/((1)^2)/((4)^2)^{}| \\ |((-1)/(2))^3/((1)/(4))^2|=|\frac{-1^{}}{8}^{}/(1)/(16)^{}| \end{gathered}

Now, apply the definition of fractional division, that is


(a)/(b)/(c)/(d)=(a\cdot d)/(b\cdot c)
\begin{gathered} |((-1)/(2))^3/((1)/(4))^2|=|\frac{-1^{}\cdot16}{8\cdot1}^{}| \\ |((-1)/(2))^3/((1)/(4))^2|=|\frac{-1^{}6}{8}^{}| \\ |((-1)/(2))^3/((1)/(4))^2|=|-2| \end{gathered}

Finally, apply the definition of absolute value, that is, it is the distance between a number and zero. The distance between -2 and 0 is 2.

Therefore, the value of the expression is 2.


\begin{gathered} |((-1)/(2))^3/((1)/(4))^2|=|-2| \\ |((-1)/(2))^3/((1)/(4))^2|=2 \end{gathered}

Evaluate the expression. 2 13 21 The value of the expression is-example-1
User Shantrese
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