Solve an equation with fractional powers by raising both side to the reciprocal power

The video tutorial explains the relationship between rational powers and roots, emphasizing that raising a number to a rational power is equivalent to taking a root. It covers how to undo roots by raising them to powers, particularly focusing on the concept of reciprocal powers. The tutorial also demonstrates converting rational exponents to radicals and solving equations involving these concepts, highlighting the importance of checking solutions.

What is the equivalent expression for X raised to the 2/3 power?

• The cube root of X squared

• The square root of X squared

• The fourth root of X

• X raised to the 3/2 power

How can you undo a square root using exponents?

• By cubing it

• By taking the reciprocal

• By squaring it

• By doubling it

What is the reciprocal of 2/3?

• 3

• 1/2

• 2/3

• 3/2

How do you express the square root of X using rational exponents?

• X to the 2/3 power

• X to the 3/2 power

• X to the 1/2 power

• X to the 1/3 power

What is the result of solving X + 2 = ±27?

• X = 27 and X = -25

• X = 29 and X = -27

• X = 25 and X = 29

• X = 25 and X = -29