Understanding Quotients Raised to a Power

What is the result of raising the expression 3x^4/y^7 to the second power?

• 9x^8/y^14

• 6x^8/y^14

• 3x^8/y^14

• 9x^4/y^14

How does the exponent affect the terms in a quotient when raised to a power?

• It affects both the numerator and the denominator.

• It only affects the denominator.

• It only affects the numerator.

• It does not affect any terms.

What is the general rule for raising a quotient a/b to the nth power?

• a/b^n

• a^b/n

• a^n/b

• a^n/b^n

What is the result of raising x^3/y^5 to the 7th power?

• x^21/y^30

• x^10/y^30

• x^10/y^35

• x^21/y^35

In the expression 2(-2x^3)^4/5^4, what is the simplified form of the numerator?

• 8x^12

• 16x^12

• 8x^3

• 16x^3

What is the simplified form of the expression 2(-2x^3)^4/5^4?

• 16x^12/625

• 8x^12/625

• 16x^3/625

• 8x^3/625

When raising a sum to a power, such as (x + 7)^5, what should you do?

• Raise each term individually to the power.

• Leave it as (x + 7)^5.

• Multiply the terms first, then raise to the power.

• Add the terms first, then raise to the power.

What is the result of raising the denominator x^2y^3 to the 5th power in the expression (x + 7)/(x^2y^3)^5?

• x^5y^15

• x^10y^15

• x^5y^3

• x^10y^3

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

• A sum can be split into individual terms raised to the power.

• A product can be split into individual terms raised to the power.

• Both can be split into individual terms raised to the power.

• Neither can be split into individual terms raised to the power.

What should you avoid doing when raising a sum like (x + 7) to a power?

• Adding the terms first.

• Multiplying the terms first.

• Leaving it as (x + 7)^5.

• Raising each term individually to the power.