Master Simplifying an expression using the quotient rule of exponents

The video tutorial explains how to simplify expressions with exponents using the quotient rule. It covers the basic principle of subtracting powers when dividing exponents with the same base. The tutorial includes examples with numbers, addresses handling negative exponents, and discusses coefficients and fraction reduction. The lesson concludes with a final example and a summary of the key points.

What is the quotient rule for simplifying expressions with exponents?

• Add the exponents of the same base.

• Divide the exponents of the same base.

• Multiply the exponents of the same base.

• Subtract the exponents of the same base.

In the expression 3^3 / 3^2, what is the simplified result?

• 1

• 9

• 3

• 27

How do you handle a negative exponent in the numerator?

• Leave it as is.

• Convert it to a positive exponent in the denominator.

• Add 1 to the exponent.

• Multiply the exponent by -1.

If you have a variable with a negative exponent in the denominator, how can you rewrite it?

• As zero

• As a negative exponent in the numerator

• As one

• As a positive exponent in the numerator

When simplifying fractions with coefficients, what should you do if the denominator does not divide evenly into the numerator?

• Reduce the fraction to its simplest form.

• Add the numerator and denominator.

• Multiply both numerator and denominator by 2.

• Leave the fraction as is.

What is the result of any base raised to the zero power?

• Negative one

• The base itself

• One

• Zero

What is the simplified form of 16a^2d^2 / 7b^6?

• 7b^6 / 16a^2d^2

• a^2d^2 / 16b^6

• 16a^2d^2b^6 / 7

• 16a^2d^2 / 7b^6