Question

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

Answer 1

`\sf (1)/(16)`

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)=(1)/(a^m)}`

`\sf 4^6 * 4^(-8)=4^(6+(-8))\\\\`

`\sf =4^(-2)\\\\ =(1)/(4^2)\\\\=(1)/(16)`