Question

3. Which of the following is equivalent to the expression 44 x 4-67оа142Ob1410Ос410Od42ОeDon't Know

Answer 1

To solve the exercise you can use these rules of exponents

`\begin{gathered} a^m\cdot a^n=a^(m+n) \\ \text{and} \\ a^(-m)=(1)/(m) \end{gathered}`

So, in this case, you have

Using the first rule

`4^4\cdot4^(-6)=4^(4-6)=4^(-2)`

Using the second rule

`4^(-2)=(1)/(4^2)`

Then,

`4^4\cdot4^(-6)=(1)/(4^2)`

Therefore, the expression equivalent to the given expression is

`(1)/(4^2)`

and the correct answer is option a.