Power of a Quotient Property (Part 1)

The video tutorial explains how to find the power of a quotient using examples. It demonstrates the process of expanding expressions and applying the product of powers property to simplify them. The tutorial introduces the power of a quotient property, which states that for any real numbers A and B (B not equal to 0) and integer M, (A/B)^M equals A^M/B^M. This property allows for simplifying expressions without expanding them fully.

What is the result of raising X/Y to the power of 3?

• X^3 / Y^3

• X^3 / Y

• X^3 * Y^3

• X / Y^3

In the expression (AB/C)^4, what is the simplified form of the numerator?

• A * B^4

• A^4 + B^4

• A^4 * B^4

• A^4 / B^4

What pattern is observed when raising a quotient to a power?

• Add the power to both the numerator and denominator

• Raise both the numerator and denominator to the power

• Subtract the power from both the numerator and denominator

• Multiply the numerator and denominator by the power

According to the power of a quotient property, what must be true about the denominator?

• It can be zero

• It must be a positive integer

• It cannot be zero

• It must be a negative integer

What is the formal statement of the power of a quotient property?

• a/b^m = a^m * b^m

• a/b^m = a^m / b^m

• a/b^m = a^m + b^m

• a/b^m = a^m - b^m