Algebra

I think that the goal is to get rid of the 5th root in this case. I know that I have to make whatever is under or in the root -in this case the number is X equal some number to the fifth power.
I am supposed to use the rule
a^(m/n)= n
(the n-root) (don't know how to type it) and under the root symbol a^m
and the other rule is (a^x)(a^b)= a^(x+b)

The book calls this Radical Ecponents and Radical Expretions.

My problem is that it only says X, another problem I had, I can solve
(I will use ,- to symbolise the root)
to give you an idea on another problem how this is supposed to be solved

[y^ (-1/4)][y(3/4)] (multiply the two terms)
Following the rule

4,- [y^(-1)][y^3] (the for stands for the 4th root and the rest is under the root symbol)

using the rule of multiplication of the powers you then get

4,- y^2

which is the same as the following and keeping in mind that there has to be some number to the power of 4.

4,- (y^(1/2)^4)

The fours cancel and then you have y^ (1/2)
Note that (1/2)4 is the same thing as 2 so it's like factoring too.
I just can't do the problem I showed you. I hope I gave you enough info to help me out!!

Thanks you!

(Original question below)

(x^(-3/5))
----------- divide
x ^ (1/5)

I know the problem then needs to look like this:

(x^(-3/5))(x^(-1/5))
(multiply the two above)

Then it needs to look like this:

(I can't write it though, so I'll tell you)
The 5th root out of (x^(-3)(x^(-1)
Then that adds up to the 5th root out of x^(-4)

and this is were I need help. To get rid of the fifth root there neeeds to be something to the power of 5 under the root symbol, but how do I get there? If my math to this point isn't correct, please correct it. I need Help!

Your original expression of
(x^(-3/5))
----------- divide
x ^ (1/5)

reduces or can be simplified to x^(-4/5)

Other than writing this in several different forms such as (x^-4)^(1/5) or (1/x^4)^(1/5)
there is no need or no method to "get rid of" the fifth power unless you have a value for x

If you had an equation containing that expression there would be ways to solve for x by manipulating the fifth power using power rules.

1. 👍
2. 👎
3. 👁

Similar Questions

1. Calculus

Which of the following functions does not satisfy the conditions of the Mean Value Theorem on the interval [-1, 1]? a. 5th root of x b. 2x arccosx c. x/(x - 3) d. sqrt(x + 1)

2. Math ~CHECK MY ANSWER~

1) Which of these is a rational number? a. Pi b. Square root 3 ****** c. Square root 2 d. 1.3 (the # 3 has a line at the top) 2) Which of the following sets contains 3 irrational numbers? a. Square root 120 , n , Square root 3

3. algebra 2

Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible. Log of 7(p to the 5th root q to the 9th root) / tÂ²

4. Algebra

Use the quadratic formula to solve the equation. Give exact answers: 2x^2 -1 = 6x. The choices are: a) -3 + square root(7)/2, -3 - square root(7)/2 b) 3 + square root(11)/2, 3 - square root(11)/2 c) 3 + square root(7)/2, 3 -

1. Physics- LOST!

If the air temperature is the same as the temperature of your skin (about 30.0 C), your body cannot get rid of heat by transferring it to the air. In that case, it gets rid of the heat by evaporating water (sweat). During

2. Calculus

Find the antiderivative of f(x)= the 5th root of x^2. A. the 5th root of (x^3)/3 + C B. (2x^1/5)/ 5 + C C. (5x^7/5)/ 7 + C

3. Calculus

A rectangle is bounded by the x axis and the semicircle = square root 25-x^2. What length and width should the rectangle have so that its area is a maximum? When I worked the problem out(which is a bit detailed). I started with y

4. english

what is the root word for release? what is the prefix and how does the prefix change the meaning? It is driving me nuts.. the word is not re-lease(as re-rent) i think he root IS release.. 4th grade spelling homework. i think it is

1. algebra

What is the simplified form of 3 Start Root 5 c End Root times Start Root 15 c cubed End root? A. 15 c squared Start Root 3 End Root B. 6 c squared Start Root 5 End Root C. 5 c squared Start Root 3 End Root D. 12 c superscript 4

2. Econ MC

owns a dog whose barking annoys 's neighbor Jane. Suppose that the benefit of owning the dog is worth \$700 to and that Jane bears a cost of \$500 from the barking. Assuming has the legal right to keep the dog, a possible private

3. Calc

Find the functions a) f o g, b) g o f, c) f o f, d) g o g, and their domains. f(x)= square root of x, g(x)= cube root of 1-x These are my answers, but I am not sure about them and I only figured out one domain... that is the part

4. math

Four students work to find an estimate for square root 54. Who is closest to finding the true estimate? (1 point) Rhonda: "Use square root 16 and square root 25 to estimate." Ricardo: "I use square root 25 and square root 36."