Question

7) Use the rules of exponents to evaluate or simplify. Write without negative exponents. 36^1/2 = ____

Answer 1

6

Explanation:

Given:
`36^(1/2)`

Here we can write 36 = 6 * 6 =
`6^(2)`

[Using the product rule:
`a^(m) *a^(n) = a^(m+n)`

`36^(1/2) = (6^(2) )`^1/2

Now we have to use power rule:
`(a^(m) )^n = a^(mn)`

Applying the above rule, we get

=
`6^((2*1/2))`

=
`6^(2/2)`

= 6

Therefore, the answer is 6.