SOLUTION: I'm to use properties of rational exponents to simplify the expression, and assume all variables represent positive numbers. (2x^1/5)^5 I got 2x^(1/5)(5/1) I cancelled out t

Question 656517: I'm to use properties of rational exponents to simplify the expression, and assume all variables represent positive numbers.
(2x^1/5)^5
I got 2x^(1/5)(5/1)
I cancelled out the 5s and was left with just 2x, however, the book says it should be 32x. I know 2^5 is 32, but how would I raise it to the 5th power if I cancelled it out?
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

Your error is in the first step. The correct first step is to use the rule:

Now you have the 32 and the 5's that cancel.
RELATED QUESTIONS
Use the properties of exponents to simplify the expression. Write with positive... (answered by ewatrrr)

Use properties of rational exponents to simplify each expression. Assume that all... (answered by MathTherapy)

Use the properties for radicals to simplify the following expression. Assume that all... (answered by jim_thompson5910)

Use the rules of exponents to simplify the expression. Write the answer with positive... (answered by Alan3354)

a. (3cubed square root xy)^6 b. square root 3cubed square root x Use rational... (answered by stanbon)

a. (cubed square root xy)^6 b. square root cubed square root x Use rational... (answered by Alan3354)

Simplify the expressions nvolving rational exponents. Assume all variables represent... (answered by stanbon)

Use rational exponents to write as a single radical expression. Assume that all variables (answered by jsmallt9)

Roots A.)Find each root - sq root 25 B) Quotient Rule for Radicals Simplify... (answered by solver91311)