Question

The quotient property of radicals requires the indices of the radicals to be the same. Does this mean that it is not possible to write es002-1.jpg as a single radical? Explain.

Answer 1

The radicands are powers of the same base, so they can be written using rational exponents.

Simplify the quotient of the exponential expressions by getting a common denominator and subtracting exponents.

The simplified expression is the 4th root of y

Answer 2

The expression can be written as a single radical by covertong the expression to a rational format such that both the denominator and numerator have the same base as y¼

• Numerator = The 4th root of y³ = y¾

• Denominator = squareroot of y = y½

Using indices :

• Division sign signifies the powers should be subtracted

$\frac{y¾}{y½} = y^{¾ - ½} = y¼$

Therefore, the expression can be written as a single radical thus y¼

Learn more :https://brainly.com/question/8377736