Question

Which expression is equivalent to 4^6 ⋅ 4^−8?

1 over 4 to the 2nd power

1 over 4 to the 14th power

4^2

4^14

Answer 1

`(1)/(4^2)`

Explanation:

The exponents add:

4^6·4^-8 = 4^(6-8) = 4^-2

A negative exponent means the same as the reciprocal of the opposite positive exponent.

4^-2 = 1/4^2