Answer the following questions related to radical–exponent relationships.

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Answer the following questions related to radical–exponent relationships. (i) State the meaning of the principal fourth root of a positive real number

a

. (ii) Write

\sqrt[3]{a^{5}}

in the form

a^{p/q}

, where

p,q\in\mathbb Z,\;q>0

. Then convert

a^{7/2}

into radical form.

Related theory

Real Number System
Laws of Exponents
Exponential and Logarithmic Functions

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