Question

10.Find: 16^3/4 *


a.) 2
b.) 4
c.) 6
d.) 8​

Answer 1

(16)^3/4 = (4^2)^3/4

= (2^4)^3/4

=(2)^(4×3/4)

= (2)^3

= 8

Hence, the correct answer is (d) 8.

Answer 2

☆Solution :

$\: \: \: \: \: \: \: \: \: \rightarrow \: \: \: {16}^{ \large\frac{3}{4} }$

$\implies \: \sqrt[4]{ {16}}^{3}$

$\implies \: {2}^{3}$

= 2 × 2 × 2

$\large \boxed{ \boxed{ = 8}}$

☆Explanations :

• The denominator - 4 in power of 16 will go to the radical sign

we know - 2 × 2 × 2 × 2 is equal to 16 and are the factors of 16

$\therefore$ It will become 2³ which is equal to 8