Quantity A

(x ^0.75 )^4

Quantity B

x ^3

Quantity A is greater.

Quantity B is greater.

The two quantities are equal.

The relationship cannot be determined from the information given.

How is it not option C and the correct answer is marked as D

my thought process is since the powers can be multiplied hence 0.75 which is 3/4

and when 3/4 is multiplied by 4 the result is 3

but It is incorrect .

It’s to the POWER of 4, not multiplied by 4.

For exponents, you need to evaluate from the top right, so you need to do:

x^(0.75^4) first and NOT (x^0.75)^4

If x = 1 or x = 0, then they are equal

If x != 0 or x!= 1 then they are not equal

1 Like

Hi Can you please confirm when some power is in the form (x^m)^n which can be simplified in the form x^m*n and when not

it is mostly the question of priority how can this be simplified

Yes if the brackets are like that, it can