Part A: Use the properties of exponents to explain why 18 raised to the power of 1 over 5 is called the fifth root of 18. (5 points)

Part B: The length of a rectangle is 2 units and its width is square root of 2 unit. Is the area of the rectangle rational or irrational? Justify

Question

Part A: Use the properties of exponents to explain why 18 raised to the power of 1 over 5 is called the fifth root of 18. (5 points)

Part B: The length of a rectangle is 2 units and its width is  square root of 2 unit. Is the area of the rectangle rational or irrational? Justify

anonymous · Answer

i dont understand how to do any of this what is it even asking me??? ????

anonymous · Answer

I'm not really sure but 18^1 = 18. And typically the roots of something are in the denominator, so (18^1)/5 is 18/5 and 5 would be the 5th of 18 possible roots?

anonymous · Answer

Not sure but that's my guess

anonymous · Answer

Part A: Use the properties of exponents to explain why 18 raised to the power of 1 over 5 is called the fifth root of 18.

this is by the rational exponents property.
a¹/ⁿ = ⁿ√a

Part B: The length of a rectangle is 2 units and its width is square root of 2 unit. Is the area of the rectangle rational or irrational? Justify your answer.
=> irrational

L = 2 => rational,
W = √2 => irrational
area of rectangle = L*W = rational*irrational =