Question

Simplify: (3^-1 + 6^-1) ÷
(3/4)^-1​

Answer 1

Answer:

Step-by-step explanation:

so,

an exponential rule that when power is in negative, we can convert it into positive by inversing the base

that is, a^-n = 1/aⁿ

or 1/a^-n = aⁿ

Now let's apply this rule.

3^-1 = 1/3¹

also

6^-1 = 1/6¹

and lastly

(3/4)^-1

now it will be 4¹/3¹

Now, let's add these modified values in our equation

(1/3 +1/6)/4/3

(3/6)/(4/3)

= 9/24

= 3/8

hope this helps ☺️