A Level

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

Problem

Let

P = 8^{2/3}\times16^{-1/4}\times32^{1/5}

. (i) Rewrite every term in

P

as a power of

2

. (ii) Using the laws of exponents, express

P

as a single power of

2

. (iii) Hence calculate the numerical value of

P