Can someone help me how my teacher got this answer?

[opal viper]

what's the issue here?

are you familiar with exponent laws?

[sudden ingot]

Anything to the power of zero is 1, so just turn the 64 into a 1.

4^-3 / 4^x =1

We don’t really care about what 4^-3 is, all we care about is how can we turn it into 1. By dividing it by itself

Making x = -3

The fraction to the right is 1/(1/27)

To divide fractions, you flip the right hand side and multiply

[tacit pecan]

Then it is -27 and the teacher is wrong

[gusty turret]

(1/27)^-1 = 27

1divided by 27=1/27

1divided by 1/27=27

1(1/27)= 1*27/1

=27

just think with clear mind