Dividing with Exponents: Key Concepts and Applications

The video tutorial covers the division of terms with exponents, starting with basic concepts and moving to more complex examples. It explains how to simplify expressions by canceling out terms and handling negative exponents. The tutorial also includes examples with coefficients and multiple variables, demonstrating how to simplify these expressions effectively.

What is the result of dividing x^5 by x^2?

• x^1

• x^2

• x^3

• x^7

When simplifying x^2 / x^4, what is the resulting exponent of x?

• x^1

• x^-2

• x^0

• x^2

What happens to the exponent when you divide x^2 by x^4?

• It becomes zero

• It doubles

• It becomes negative

• It remains the same

How do you handle a negative sign outside the parentheses in an expression like -x^3 / x?

• Ignore the negative sign

• Add the negative sign to the exponent

• Multiply the result by -1

• Divide the negative sign by the exponent

What is the simplified form of -x^3 / x?

• x^3

• -x^3

• x^2

• -x^2

When simplifying (x^4 / x^2)^3, what is the resulting exponent of x?

• x^12

• x^6

• x^2

• x^8

What is the shortcut for simplifying (x^4 / x^2)^3?

• Multiply the exponents

• Add the exponents

• Divide the exponents

• Subtract the exponents

How do you simplify 2x^4 / 3x^3?

• 2x / 3

• 2x^2 / 3

• 2x / 3x

• 2x^4 / 3x^3

What is the result of dividing 9x^3y^2z by 12xy^2z^3?

• 3x^2 / 4z^2

• 3x^2 / 4z

• 3x / 4z^2

• 3x / 4z

How do you simplify the expression 9x^3y^2z / 12xy^2z^3?

• Multiply coefficients and add exponents

• Divide coefficients and subtract exponents

• Multiply coefficients and subtract exponents

• Divide coefficients and add exponents