Math

posted by .

What would you do...

(4)^(3/square root 2) ÷ 16^(2*square root 2) ?

  • Math -

    Recognize that
    16^(2*square root 2)= (4^2)^(2sqrt2)
    = 4^(4sqrt2)

    So your expression can be written
    4^(3/sqrt2)/4^(4sqrt2)
    = 4^[(3/sqrt2)-(4sqrt2)]
    = 4^[(3/2)sqrt2-4sqrt2]
    = 4^[-(5/2)sqrt2]
    = 2(-5sqrt2)
    I might have made a mistake somewhere, so be sure to verify the steps.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    Just need some help... Directions: Multiply or raise to the power as indicated... Then simplify the result. Assume all variables represent positive numbers. 1. 5(square root of 6) times two-thirds(square root of 15)= 3 one-third (square …
  2. Algebra

    Rationalize each expression by building perfect nth root factors for each denominator. Assume all variables represent positive quantities. I don’t understand how to compute these. Also I don’t have the square root sign so I typed …
  3. Math simplifying mixed radicals

    Please help me simplify these following mixed radicals:: and show me how you did it cause I need to learn : I don't know how to type a square root sign so I just wrote square root: 2 square root 48 3 square root 81 6 square root 12 …
  4. Math simplifying mixed radicals

    Please help me simplify these following mixed radicals:: and show me how you did it cause I need to learn : I don't know how to type a square root sign so I just wrote square root and the numbers infront of the square root are supposed …
  5. 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?
  6. Math ~CHECK MY ANSWERS~

    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?
  7. Math Help!

    Which two square roots are used to estimate square root 67?
  8. Math Help!

    Four students worked to find an estimate for square root 22. Who is closest to finding the true estimate?
  9. algebra

    Which shows the expressions in the order they would appear on a number line from least to greatest?
  10. math

    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?

More Similar Questions