Dividing Monomials: Exponent Subtraction Techniques

This video tutorial covers the process of dividing exponents, emphasizing the rule of subtracting exponents when the bases are the same. Through various examples, the tutorial demonstrates how to handle negative exponents, simplify fractions, and apply algebraic sense to cancel terms. The video also addresses complex fractions involving multiple variables, providing a comprehensive understanding of exponent division.

What is the result of dividing 10 to the power of 4 by 10 to the power of 6?

• 10 to the power of 2

• 10 to the power of 0

• 10 to the power of -2

• 1 over 10 to the power of 2

When dividing exponents with the same base, what operation do you perform with the exponents?

• Add

• Multiply

• Divide

• Subtract

How do you handle a negative exponent after division?

• Multiply the base by the exponent

• Change the sign and move to the denominator

• Leave it as is

• Subtract it from the base

What does any number to the power of zero equal?

• 1

• 0

• It is undefined

• The base number

What is the simplified form of 4 divided by 8, with exponents x to the 5th over x?

• 1 over 2x to the power of 4

• x to the power of 4

• 2x to the power of 4

• x to the power of 4 over 2

What is the result of dividing negative 6 by negative 15?

• 2 over -5

• -2 over 5

• 1 over 2.5

• 2 over 5

What does 12 divided by 3 simplify to when considering exponents a to the first over a to the first?

• 4a

• 4

• 12a

• a to the power of 0

What is the simplified form of an expression with exponents y to the third over y?

• 1 over y to the power of 2

• y to the power of 3

• y to the power of 2

• y

How do you simplify an expression with a negative exponent in the numerator?

• Move it to the denominator and change the sign

• Add it to the base

• Leave the exponent as negative

• Multiply the base by the exponent

How do you simplify an expression with a negative exponent in the denominator?

• Multiply the base by the exponent

• Leave the exponent as negative

• Subtract it from the base

• Move it to the numerator and change the sign