Understanding Exponent Rules and Equivalent Expressions

The video tutorial explains how to find an expression equivalent to a given one using exponent rules. It covers converting rational exponents to radical form, changing the sign of exponents when moving terms between the numerator and denominator, and deriving the final equivalent expression.

What is the radical form of x raised to the power of 1/3?

• Square root of x

• Cube root of x

• Fourth root of x

• Fifth root of x

How does the exponent change when x to the power of negative two is moved to the numerator?

• It becomes negative three

• It becomes positive two

• It becomes zero

• It remains negative two

What happens to the exponent of y when y to the power of negative four is moved to the denominator?

• It becomes positive four

• It becomes negative five

• It becomes zero

• It remains negative four

Which of the following represents x squared times the cube root of x?

• x^(5/3)

• x^3

• x^(2/3)

• x^(1/3)

What is the final equivalent expression formed in the video?

• x^2 * y^4

• x^2 / y^4

• x^2 * cube root of x / (y^4 * fourth root of y)

• x^3 / y^3