Multiplying and Dividing Exponents

This video tutorial explains the multiplication rule for exponents, demonstrating how to multiply numbers and variables with exponents by adding their exponents when the bases are the same. It covers examples with coefficients and complex expressions, emphasizing the importance of keeping track of signs and correctly applying the rule to both numbers and variables.

What does an exponent of 4 indicate for the number 7?

• Divide 7 by 4

• Multiply 7 by itself four times

• Add 7 four times

• Multiply 7 by 4

What is the result of 3 to the 4th power times 3 squared?

• 3 to the 7th power

• 3 to the 5th power

• 3 to the 6th power

• 3 to the 8th power

When multiplying like bases, what should you do with the exponents?

• Divide the exponents

• Multiply the exponents

• Subtract the exponents

• Add the exponents

In the expression 3x to the 6th times 2x cubed, what is the coefficient of the result?

• 9

• 12

• 6

• 5

What is the result of x to the negative 2 times x to the 8th?

• x to the 6th

• x to the 10th

• x to the 8th

• x to the 4th

How do you handle coefficients when multiplying expressions with like bases?

• Divide the coefficients

• Add the coefficients

• Subtract the coefficients

• Multiply the coefficients

What is the result of 2x to the 9th times 5x to the negative 4?

• 7x to the 13th

• 7x to the 5th

• 10x to the 5th

• 10x to the 13th

In the expression 7x squared times -3x to the 6th, what is the coefficient of the result?

• 10

• -10

• 21

• -21

What is the result of adding the exponents 2 and 6 in the expression 7x squared times -3x to the 6th?

• x to the 10th

• x to the 4th

• x to the 6th

• x to the 8th

What is the result of adding the exponents 4 and -2 for the y terms in the expression 7x squared y to the 4th times -3x to the 6th y to the -2?

• y to the 2nd

• y to the 6th

• y to the 4th

• y to the 8th