Quotient of Powers Property (Part 1)

This video tutorial explains how to divide powers with the same base using examples. It demonstrates simplifying expressions by canceling terms and introduces the quotient of powers property, which states that dividing powers with the same base involves subtracting the exponents. The tutorial emphasizes that the base must be a nonzero real number to avoid division by zero.

What is the result of dividing X to the power of 5 by X to the power of 2?

• X to the power of 7

• X to the power of 3

• X to the power of 2

• X to the power of 1

In the example with different bases, what is the simplified form of the expression involving eights and X's?

• 8^3 X^2

• 8^2 X^2

• 8 X^2

• 8^2 X

What is the key pattern observed when dividing powers with the same base?

• Add the exponents

• Subtract the exponent in the denominator from the exponent in the numerator

• Multiply the exponents

• Divide the exponents

According to the quotient of powers property, what must be true about the base A?

• A can be zero

• A must be a nonzero real number

• A must be a positive number

• A must be an integer

What is the formal expression for the quotient of powers property?

• A^M + A^N = A^(M+N)

• A^M / A^N = A^(M-N)

• A^M * A^N = A^(M+N)

• A^M - A^N = A^(M-N)