Pre-Algebra 28 - Raising Products and Quotients to Powers

The video tutorial explains how to raise numbers, variables, and expressions to powers, including handling products and quotients of terms. It covers the rules for multiplying exponents, simplifying expressions with positive and negative exponents, and understanding the concept of reciprocals when dealing with negative powers. The tutorial also demonstrates how to simplify complex fractional expressions raised to negative powers.

What is the result of raising a product of two terms to a power?

• The sum of the terms raised to the power

• Each term raised individually to the power

• The product of the terms raised to the power

• The difference of the terms raised to the power

How do you handle a term with an exponent when raising it to another power?

• Add the exponents

• Multiply the exponents

• Subtract the exponents

• Divide the exponents

What happens to the exponent of a term in a quotient when raised to a power?

• It is added to the power

• It is subtracted from the power

• It is multiplied by the power

• It remains unchanged

How do you simplify a fractional expression with a negative exponent?

• Move the term with the negative exponent to the opposite side of the fraction

• Ignore the negative exponent

• Subtract the negative exponent from the denominator

• Add the negative exponent to the numerator

What is the effect of raising a fractional expression to the negative first power?

• It doubles the expression

• It flips the expression upside down

• It halves the expression

• It squares the expression

When simplifying a complex fractional expression raised to a negative power, what is the first step?

• Subtract all exponents

• Divide each exponent by the negative power

• Multiply each exponent by the negative power

• Add all exponents

What is the final step in simplifying an expression with negative exponents?

• Add the exponents

• Multiply the exponents

• Ignore the negative exponents

• Move terms with negative exponents to the opposite side of the fraction