Question

What is the value of 2power1/3 * 2Power 1/2
a) 2power1/5 b) 4power1/6 c)2 power 5/6 d) 4power5/6​

Answer 1

Answer:

C) 2 power 5/6

Step-by-step explanation:

2¹/³ * 2¹/²

= 2 ¹/³ + ¹/²   ( ∵ a ˣ  X aⁿ = a ˣ⁺ⁿ )

=  2 ⁵/⁶

Answer 2

The"option (c) $2^{\frac{5}{6}}$" is the required answer.

Step-by-step explanation:

We have,

$2^{\frac{1}{3}$ × $2^{\frac{1}{2}$

= $2^{\frac{1}{3} + \frac{1}{2}}$

[ ∵ $a^{m}$ × $a^{n}$ =$a^{m + n}$ }

= $2^{\frac{2 + 3}{6}}$

= $2^{\frac{5}{6}}$

∴ $2^{\frac{1}{3}$ × $2^{\frac{1}{2}$  = $2^{\frac{5}{6}}$

Hence, "option (c) $2^{\frac{5}{6}}$" is the required answer.