Mathematics

Problem

The expression

2^{3/4} \times 2^{5/6}

involves rational exponents. a. (i) Combine the two powers of

2

into a single power, showing each step. b. (ii) Explain why it is convenient to write the fractions

\tfrac{3}{4}

and

\tfrac{5}{6}

with a common denominator before adding them. c. (iii) State the final exponent of

2

obtained in part (i).