Q. The expression (x−12)(x4) is equivalent to xk. What is the value of k ?
Identify Exponents: We are given the expression x(−12)×x(4) and we need to find the equivalent expression in the form of x(k). According to the laws of exponents, when we multiply two expressions with the same base, we add their exponents.Calculation: k=(−12)+(4)
Calculate Value of k: Perform the addition to find the value of k.Calculation: k=−12+4=−8
Find Equivalent Expression: We have found the value of k to be −8. This means that the expression x(−12)×x(4) is equivalent to x(−8).
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