Exploring Multiplication of Variables with Exponents

The video tutorial explains how to multiply exponents, starting with basic examples like x squared times x cubed, and progressing to more complex scenarios involving coefficients and parentheses. It covers the rules for multiplying exponents, including handling cases with no visible exponent, and demonstrates how to multiply numbers and variables separately. The tutorial also addresses the impact of negative coefficients and how to interpret them in exponentiation.

What does x squared times x cubed equal?

• x to the power of 4

• x to the power of 5

• x to the power of 6

• x to the power of 3

If x to the power of 4 is multiplied by x, what is the result?

• x to the power of 6

• x to the power of 5

• x to the power of 4

• x to the power of 3

What is the coefficient in the expression 7x squared times 3x cubed?

• 10

• 21

• 14

• 9

What is the result of 7x squared times 3x cubed?

• 21x to the power of 4

• 21x to the power of 5

• 21x to the power of 3

• 21x to the power of 6

What does (x squared) cubed equal?

• x to the power of 8

• x to the power of 5

• x to the power of 7

• x to the power of 6

How many times do you multiply x when you have (x squared) cubed?

• 5 times

• 7 times

• 4 times

• 6 times

What is the result of 2x to the power of 5?

• 32x to the power of 5

• 16x to the power of 5

• 8x to the power of 5

• 4x to the power of 5

What happens to the negative sign in -2x to the power of 5?

• It indicates the opposite of the result

• It is ignored

• It is multiplied with each term

• It is added to the result

What is the result of -2x to the power of 5?

• -4x to the power of 5

• -8x to the power of 5

• -16x to the power of 5

• -32x to the power of 5

How many times do you multiply 2 when you have 2x to the power of 5?

• 6 times

• 4 times

• 3 times

• 5 times