AMC 10 Daily Practice - Exponent

Complete problem set with solutions and individual problem pages

Problem 1 Easy

What is the value of \dfrac{3c^{-1}+\dfrac{c^{-1}}{3}}{c} when c=\dfrac{1}{3}?   (Adapted from 2016 AMC 10A, Problem #2)

  • A.

    15

  • B.

    30

  • C.

    45

  • D.

    60

  • E.

    75

Answer:B

Factorizing the numerator, \dfrac{\dfrac{1}{c}\cdot\left( 3+\dfrac{1}{3}\right)}{c} then becomes \dfrac{\dfrac{10}{3}}{c^{2}} which is equal to \dfrac{10}{3}\cdot3^{2} which is \left(\text{B}\right)30.

Related Problems
Problem 2 AMC 10 Daily Practice - Exponent
Problem 3 AMC 10 Daily Practice - Exponent
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