Question

If ( x⁵ × x-² ) = 64 what is the value of x​

Answer 1

Answer:

X=4

Step-by-step explanation:

Given,

(x^5*x^-2) =64

According to the rule in algebra,

If same variable having two different powers is in product, then the powers are added up, i. e

( (x^a) *(x^b)) = x^(a+b)

So, the question becomes,

(x^(5-2)) =64

or

x^3=64

Now,

As 64 is the cube of 4, so x comes out to be 4

i. e 4^3=64