Learn how to solve an equation with fraction powers by raising each side by the reciprocal

The video tutorial explains how to work with fractional exponents and roots, focusing on simplifying expressions and solving equations. It covers the properties of exponents, including how to multiply powers and use reciprocal powers to simplify and solve equations. The tutorial concludes with verifying solutions and understanding the equivalence of radical and fractional exponent forms.

What is the equivalent radical expression for X raised to the power of 1/2?

• Fourth root of X

• X squared

• Square root of X

• Cube root of X

If you have an exponent raised to another power, what should you do with the powers?

• Subtract them

• Add them

• Multiply them

• Divide them

To solve for X in the equation 8X = 64 squared, what operation is performed on both sides?

• Add 8

• Divide by 8

• Multiply by 8

• Subtract 8

What is the result of multiplying 512 by 8 and then taking the square root?

• 128

• 32

• 64

• 256

What is the purpose of raising both sides of an equation to a reciprocal power?

• To add a constant

• To eliminate the exponent

• To change the base

• To simplify the coefficient