Algebra multiplying sq rt

posted by .

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?

  • Algebra multiplying sq rt -

    I multiply the sq rt numbers to get 12 yes? and then do I multiply the x times 7x to get 7x^7?

  • Algebra multiplying sq rt -

    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

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    i see were u got that from but this 1 is confusing. 6 (index 3) square root of 36 times 2 (index 3)square root of 6 Please use the following for roots: sqrt cubroot etc. Those, with parenthesis, make the problem clear. 6 cube root …
  2. radicals

    root 3 ^1/4 times root 3 ^ 1/5 the answer is root three ^9/20 i cant seem to figure out why i would have just tought that it would be root three ^ 1/9 when you are multiplying exponents add. What is 1/4 + 1/5 ?
  3. Radical exponents

    Use rational exponents to write 4suare root 5 * 2 sqaure root 8 Please help.. I can't find the square root button
  4. Math 117

    Use rational exponent to write 4 cube root x multiply by 6 cube root 6x as a single radical expresion.
  5. Math 117

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

    Simplify: 5(cube root of 16) + 2(cube root of 54) 5 times the cube root of 16 plus 2 times the cube root of 54. I do not know how to type in the radical signs. Sorry.
  7. Algebra

    I need help on these kinds of radical problems. Once I get the examples solved, I think I can do others. 1. What is the solution to the square root of -9?
  8. Math PLEASE HELP ASAP

    -PLEASE INCLUDE SOLUTIONS AND EXPLAIN HOW YOU DID IT PLEASE. *CHALLENGE. 1.SIMPLIFY : SQUARE ROOT OF 16^8+8^4/16^2+16^7 2.EXPRESS 1 + 1/1+SQUARE ROOT OF 2 - 1/1-SQUARE ROOT OF 2 IN THE FORM A+B SQUARE ROOT OF 2, WHERE A AND BARE RATIONAL …
  9. 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?
  10. Math

    Use linear approximation, i.e. the tangent line, to approximate cube root of 27.05 as follows. Let f(x) = cube root of x and find the equation of the tangent line to f(x) at x = 27 in the form y = mx+b. Note: The values of m and b …

More Similar Questions