How to solve an equation with an expression raised to a fractional power

The video tutorial explains the process of solving equations involving rational exponents. It emphasizes the importance of isolating powers before solving and provides a detailed explanation of rational exponents and roots. The tutorial guides through simplifying expressions and solving equations with exponents, highlighting the need to consider both positive and negative solutions. The video concludes with verifying the solutions to ensure accuracy.

What is the equivalent expression for X + 4 raised to the 2/3 power?

• The cube root of (X + 4) squared

• The fourth root of X + 4

• The square root of X + 4

• X + 4 squared

Why can't you distribute a number inside a root?

• Because it simplifies the expression incorrectly

• Because it is mathematically incorrect to do so

• Because roots and exponents are unrelated

• Because it changes the value of the expression

What happens when you raise an exponent to another power?

• You divide the powers

• You multiply the powers

• You subtract the powers

• You add the powers

What is the result of 4 raised to the third power?

• 128

• 32

• 16

• 64

What are the solutions for X in the equation X + 4 = ± 8?

• X = 8 and X = -8

• X = 4 and X = -12

• X = 0 and X = -16

• X = 12 and X = -4