Multiplying two exponents with rational powers, then simplifying

The video tutorial explains the power rule for exponents, emphasizing that numbers multiply with numbers and exponents with exponents. It demonstrates how to multiply exponents with the same base by adding them and highlights the need for common denominators when adding fractions. The tutorial concludes with simplifying expressions and the preference for radical form over fractional exponents.

What is the first step when using the power rule for exponents with the same base?

• Multiply the exponents directly

• Subtract the exponents

• Divide the exponents

• Add the exponents

When combining exponents with different denominators, what is the first step?

• Subtract the denominators

• Multiply the exponents

• Find the least common denominator

• Add the numerators

What is the least common denominator of 2/5 and 1/4?

• 25

• 15

• 10

• 20

Why might one prefer to express answers in radical form rather than fractional exponents?

• Fractional exponents are more accurate

• Fractional exponents are easier to understand

• Radical form is more complex

• Radical form avoids negative exponents

What is the simplified form of 12 * X^(13/20)?

• 12 * X^(1/2)

• 12 * X^(13/20)

• 12 * X^(3/4)

• 12 * X^(2/5)