How to apply the power to power rule with rational exponents

The video tutorial explains how to handle exponents raised to another exponent using the power of power rule. It demonstrates the process of multiplying fractions in the context of exponentiation and simplifies the expression to its final form. The tutorial concludes by offering an alternative representation in radical form.

What is the power of a power rule in exponentiation?

• Divide the exponents

• Add the exponents together

• Multiply the exponents

• Subtract the exponents

In the example given, what is the initial expression before simplification?

• X to the 8/5 * 4

• X to the 4/5

• X to the 32/5

• X to the 8/5

How do you multiply fractions when applying the power of a power rule?

• Subtract the numerators from the denominators

• Multiply the numerators and denominators separately

• Add the numerators and denominators

• Divide the numerators by the denominators

What is the simplified form of X raised to the 8/5 * 4?

• X to the 8/5

• X to the 32/5

• X to the 4/5

• X to the 16/5

How can the expression X to the 32/5 be rewritten in radical form?

• 5th root of X to the 32nd power

• 8th root of X to the 5th power

• 5th root of X to the 8th power

• 32nd root of X to the 5th power