Question

Which expression is equivalent to 4–6 x 4-2?

Answer 1

When we multiply the same base we add their power

`a^m* a^n=a^(m+n)`

This is the rule that we will use it

`4^(-6)*4^(-2)=4^(-6+(-2))=4^(-8)`

You can change the negative power to positive power by reciprocal the number

`4^(-8)=(1)/(4^8)`

The answer is the 4th choice