Understanding Products Raised to a Power

What is the base in the expression (2x^5y^4)^3?

• 2x^5y^4

• 2

• 3

• x^5

When multiplying exponents with the same base, what operation is performed on the exponents?

• Subtract the exponents

• Multiply the exponents

• Add the exponents

• Divide the exponents

How can the expression (a*b)^n be rewritten?

• a^n + b^n

• a^n * b^n

• a^n - b^n

• a^n / b^n

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

• Raise each factor to the power

• Divide each factor by the power

• Add the power to each factor

• Subtract the power from each factor

What is the result of simplifying (-3x^7)^4?

• 3x^28

• -3x^28

• 81x^28

• -81x^28

In the expression (-2xy^4)^3, what is the exponent of y after simplification?

• 4

• 8

• 12

• 16

What is the exponent of x in the expression (-2xy^4)^3 after simplification?

• 4

• 3

• 2

• 1

What is the simplified form of (7(x-3))^2?

• 49x^2 + 9

• 49(x-3)^2

• 49x^2 - 9

• 7x^2 - 21

Why can't you square each part of (x-3)^2 individually?

• Because it is a quotient

• Because it is a difference

• Because it is a sum

• Because it is a product

What is the key difference between a product and a difference when raising to a power?

• Both can be simplified in the same way

• A product can be simplified by raising each factor to the power

• Neither can be simplified

• A difference can be simplified by raising each term to the power