Mathematics

Problem

Consider the expression

E = \dfrac{-5}{3}\,\sqrt{144p^{10}q^{2}}

. a. (i) Express

E

entirely in exponential form. b. (ii) Using your result from (i), find the value of

E

when

p = 2

and

q = 3

. c. (iii) Write the exponential expression obtained in (i) back into radical form after substituting the given values of

p

and

q

, and verify that it matches the numerical answer of part (ii).