Question

Describe if these expressions are equivalent or are not equal.

Answer 1

and

Answer 2

\[\sqrt[16]{x*x ^{3}*x ^{4}}\]

Answer 3

@RhondaSommer please help im on a timed assignment with 20 min left

Answer 4

i said they were equivalent because they're both equal to x^1/2

Answer 5

\[x ^{1/2}\]

Answer 6

@Miracrown @sunnnystrong ?

Answer 7

Okay so step on is to simplify both radical expressions. The first one simplifies to x^1/2 the next one is x^1/2.
I would show all of the steps but I am currently on my tablet. Let me know if you need further explanation you are correct.

Answer 8

the question called for explaining the steps and ive done that already, but im just not sure if the expressions were equivalent already. why would you say they were equal? because they both simplify to the same answer? thanks for helping by the way, ive got 10 more minutes

Answer 9

@sunnnystrong ?

Answer 10

We know they are both equal. For step one we must find the lcd of each radical exponent given, this is 12. We are left with x^16/12 / x^10/12. To simplify further we must subtract exponents as we are dividing, we are left with x^6/12. This reduces to x^1/2

Answer 11

I have this as my answer

First, find a common denominator for the exponents which would, 6. So the exponents look like x^8/6 and x^5/6. Subtract the exponents x^(8/6 - 5/6) and result in x^3/6. Simplify further to get x^1/2

Add the exponents in the radical because they are being multiplied. Inside the radical would now be x^8. Then put the 16th root as the denominator for the 8 exponent, this will be x^8/16 and simplified, x^1/2.
They started with equivalent expressions.

Answer 12

I agree with you, good job. These are equivalent exponential expressions and your response explains why.

Answer 13

Okay great! Thank you so so much! Submitted with 3 minutes to spare :)

Answer 14

Hahan cutting it tight but you definitely got that question right!

Answer 15

Also you're welcome but you did most of the work