Simplify an expression with ratinal exponents, (-8y^9)^(1/3)

The video tutorial covers rational exponents, focusing on converting them to radical expressions and applying exponent rules. It explains the power to product rule, the power rule, and how to simplify expressions. The tutorial also addresses cube roots of negative numbers, emphasizing that odd roots can be taken of negative values.

What is the main difference when working with rational exponents compared to integer exponents?

• Rational exponents do not follow any rules.

• Rational exponents require converting to decimal form.

• Rational exponents are always negative.

• Rational exponents need to be rewritten as radical expressions.

Which rule of exponents involves distributing a power to each term in a product?

• Power to Product Rule

• Quotient Rule

• Power Rule

• Product Rule

How do you convert a rational exponent X^(A/B) into a radical expression?

• B root of X to the A

• A root of X to the B

• X to the power of A times B

• X to the power of B divided by A

What operation do you perform when an exponent is raised to another power?

• Subtract the exponents

• Divide the exponents

• Multiply the exponents

• Add the exponents

Why is it possible to take the cube root of a negative number?

• Because cube roots are always positive

• Because odd roots can be taken of negative numbers

• Because negative numbers become positive when cubed

• Because cube roots ignore the sign of the number