Question

Which expression is equivalent to 4 to the power of 6 multiplied with 4 to the power of negative 8

Answer 1

Answer:

$\sf \dfrac{1}{16}$

Step-by-step explanation:

Exponents:

    In exponent multiplication, if bases are same, add the powers.

             $\sf \boxed{a^m*a^n=a^{m+n}}$

             $\sf \boxed{a^{-m}=\dfrac{1}{a^m}}$

      $\sf 4^6 * 4^{-8}=4^{6+(-8)}$

                   $\sf =4^{-2}\\\\ =\dfrac{1}{4^2}\\\\=\dfrac{1}{16}$