Which expression is equivalent to 4, to the power minus 6 , times, 4, to the power minus 2 , question mark4

Question

−6
×4
−2
?

Answer 1

To simplify the expression \( 4^{-6} \times 4^{-2} \), we can use the property of exponents that states:

\[ a^m \times a^n = a^{m+n} \]

In this case, \( a = 4 \), \( m = -6 \), and \( n = -2 \). Therefore, we can add the exponents:

\[ 4^{-6} \times 4^{-2} = 4^{-6 + (-2)} = 4^{-6 - 2} = 4^{-8} \]

Thus, the expression \( 4^{-6} \times 4^{-2} \) simplifies to \( 4^{-8} \).