Question

HELPPPP PLEASE WILL GIVE OUT BRAINLIEST

Answer 1

Answer:

D

Step-by-step explanation:

Which of the following is equivalent to (a^1/2 * b^1/3)^1/2?

Note: To distribute exponents in a parentheses where the two variables are being multiplied, you can distribute it to the powers. For example:

(4 * 5)² = 20² = 400

Or, we can rewrite it like:

(4 * 5)² = 4² * 5² = 16 * 25 = 400

Now, onto the problem.

First, multiply the exponents with the one outside the parentheses.

a^(1/2 * 1/2) * b^(1/3 * 1/2)

Simplify.

a^(1/4) * b^(1/6)

So, the answer is D.

Just in case, let's double check the answer.

Let's pretend that a=16 and b=64.

Then,

(a^(1/2) * b^(1/3))^(1/2) = a^(1/4) * b^(1/6)

(16^(1/2) * 64^(1/3))^(1/2) = 16^(1/4) * 64^(1/6)

(4 * 4) ^ (1/2) = 2 * 2

16 ^ (1/2) = 4

4 = 4

Thus, the answer is correct.

Answer 2

Answer:

D

I guess you just have to add them