Question

What is 80y to the three fourths in radical form??

Answer 1

forthrt((80y)^3)

Answer 2

Fourth root of 80y cubed

Answer 3

[AI-generated answer — Explain Bot]

To express 80y to the three fourths power in radical form, we can use the property of radicals that states the root of a product is equal to the product of the roots.

Step 1: Express 80y as a product of its factors.
80y = 2 * 2 * 2 * 2 * 5 * y

Step 2: Rewrite the expression using fractional exponents.
(2^4 * 5 * y)^(3/4)

Step 3: Use the property of radicals to rewrite the expression.
(2^(4*3/4) * 5^(1*3/4) * y^(1*3/4))

Step 4: Simplify the exponents and remove the parentheses.
2^3 * 5^(3/4) * y^(3/4)

Step 5: The final expression in radical form is:
2^3 * 5^(3/4) * y^(3/4)