Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

(2sqrt(2x^(4)y^(3)))/(sqrt(3x^(3)y^(2)))

115115) 22x4y33x3y2 \frac{2 \sqrt{2 x^{4} y^{3}}}{\sqrt{3 x^{3} y^{2}}}

Full solution

Q. 115115) 22x4y33x3y2 \frac{2 \sqrt{2 x^{4} y^{3}}}{\sqrt{3 x^{3} y^{2}}}
  1. Simplify exponents in roots: First, let's simplify the square roots by dividing the exponents inside the roots.
  2. Simplify expression inside root: Now, we'll simplify the expression inside the square root by dividing the terms.
  3. Subtract exponents: Simplify the exponents by subtracting them.
  4. Take square root of factors: Now we can take the square root of each factor separately.
  5. Multiply by coefficient: Multiply the outside coefficient by the simplified square root.
  6. Leave as is: We can't simplify the square root of 23\frac{2}{3} any further, so we'll leave it as is.

More problems from Find trigonometric ratios using reference angles