Rosalia is trying to show that raising the 4th root of 50 to the 4th power results in the value 50.

Which of the following statements can she use to justify her reasoning?

Since the 4th root of 50 is 50^-4, and (50^-4) ^4=0, raising the 4th root of 50 to the 4th power cancels the root and the power.

Since the 4th root of 50 is 50^1/4, and (50^1/4) ^4=1, raising the 4th root of 50 to the 4th power cancels the root and the power.

Since the 4th root of 50 is 50^-4, and (50^-4) ^4=50^0, raising the 4th root of 50 to the 4th power cancels the root and the power.

Since the 4th root of 50 is 50^1/4, and (50^1/4) 4=50^1, raising the 4th root of 50 to the 4th power cancels the root and the power.

Question

Kathleen Horn

Mathematics

22 June, 01:41

Rosalia is trying to show that raising the 4th root of 50 to the 4th power results in the value 50.

Which of the following statements can she use to justify her reasoning?

Since the 4th root of 50 is 50^-4, and (50^-4) ^4=0, raising the 4th root of 50 to the 4th power cancels the root and the power.

Since the 4th root of 50 is 50^1/4, and (50^1/4) ^4=1, raising the 4th root of 50 to the 4th power cancels the root and the power.

Since the 4th root of 50 is 50^-4, and (50^-4) ^4=50^0, raising the 4th root of 50 to the 4th power cancels the root and the power.

Since the 4th root of 50 is 50^1/4, and (50^1/4) 4=50^1, raising the 4th root of 50 to the 4th power cancels the root and the power.

+4

Answers (1)

Know the Answer?

Semaj Pope · Answer 1

Since the 4th root of 50 is 50^1/4, and (50^1/4) ^4=1, raising the 4th root of 50 to the 4th power cancels the root and the power.

Step-by-step explanation:

The root of a term is the 1 / (that number) version of that term. Therefore, something that is a 4th root, must be that number raised to 1/4