Algebra multiplying sq rt

I need to use rational exponents to write the answer to:
the cube root of x times the 4 root of 7x.
there is a rule when the numbers on the radicand are different, yes?

  1. 👍 0
  2. 👎 0
  3. 👁 177
asked by Micah
  1. I multiply the sq rt numbers to get 12 yes? and then do I multiply the x times 7x to get 7x^7?

    1. 👍 0
    2. 👎 0
    posted by Micah
  2. x^(1/3) * (7x)^(1/4)

    = x^(1/3) * 7^(1/4) * x^(1/4)

    = 7^(1/4) * x(1/3 + 1/4)

    = 7^(1/4) * x (7/12)
    In other words, when you multiply you add exponents
    think
    10^1 * 10^2 = 10^3 = 1,000
    like you know that
    10 * 100 = 1000

    1. 👍 0
    2. 👎 0
    posted by Damon

Respond to this Question

First Name

Your Response

Similar Questions

  1. Radical exponents

    Use rational exponents to write 4suare root 5 * 2 sqaure root 8 Please help.. I can't find the square root button

    asked by Ava on August 15, 2010
  2. Math

    Can someone help me reword these two things? I don't like how I did them but I can't think of anything else. Thanks!! 1. PROMPT: What do you do to check whether a number is rational or irrational? In your explanation, use an

    asked by cAt.ExE HaS sTopPeD wORkInG on September 25, 2018
  3. Math 117

    Use rational exponent to write 4 cube root x multiply by 6 cube root 6x as a single radical expresion.

    asked by Joseph on February 12, 2012
  4. Math 117

    Use rational exponent to write 4 cube root x multiply by 6 cube root 6x as a single radical expresion.

    asked by Joseph on February 12, 2012
  5. rational exponents

    Express cube root 27x^4y^6 using rational exponents (27x^4y^6)1/3 (27^1/3)(x^4/3)(y^6/3) stuck. I think the final answer is 9x^3/4(y^2) I don't know where to put the parentheses to break it up so I hope yall understand what it's

    asked by Anonymous on August 25, 2008
  6. Math

    3) Explain how the laws of exponents work with rational exponents and give at least one example of an expression containing rational exponents... Please help.. I can't find the answer to this anywhere..

    asked by June on August 5, 2010
  7. Math

    Use rational exponents to simplify the radical. If rational exponents appear after simplifying, write the answer in radical notation. 3sqrt(2)/ 5sqrt(2)

    asked by Help please on April 17, 2010
  8. Math

    Use rational exponents to simplify the radical. If rational exponents appear after simplifying, write the answer in radical notation. 20sqrt(x^12)

    asked by Help please on April 17, 2010
  9. Intermediate Algebra

    Write with rational exponents 3 square root of x^2

    asked by Ralph on April 21, 2012
  10. Algebra - can you PLEASE double check my work?

    Part A: Use the properties of exponents to explain why is called the fifth root of 18. 1. What property refers to roots and fractional powers? My Answer: Rule of exponents 2. How does it apply to 18^1/5? If you multiply 18^1/5 by

    asked by Jake on November 17, 2014

More Similar Questions