Understanding Negative Exponents and Multiplication

The video tutorial explains how to handle multiplication of numbers with negative exponents. It introduces a trick for adding exponents when the bases are the same, even if one exponent is negative. The tutorial also demonstrates solving the problem using a detailed method involving fraction multiplication, showing that both methods yield the same result.

What should you do when you encounter a negative exponent in a multiplication problem?

• Ignore the negative sign.

• Convert it to a positive exponent.

• Use the reciprocal of the base.

• Add the negative exponent to the positive exponent.

When multiplying numbers with the same base, what operation do you perform on the exponents?

• Subtract the exponents.

• Divide the exponents.

• Multiply the exponents.

• Add the exponents.

What is the result of 2 to the power of 3 multiplied by 2 to the power of -2?

• 2 to the power of 0

• 2 to the power of -1

• 2 to the power of 5

• 2 to the power of 1

How do you express 2 to the power of -2?

• 1 over 2 times 2

• 2 plus 2

• 2 times 2

• 2 divided by 2

What is the first step in solving 2 to the power of 3 multiplied by 2 to the power of -2 using the long method?

• Multiply the bases.

• Add the exponents.

• Convert the negative exponent to a positive one.

• Write out the multiplication for each exponent.

What do you get when you multiply 2 to the power of 3 by 2 to the power of -2 and simplify?

• 1

• 4

• 2

• 1/2

What happens when you divide 2 by 2 in the numerator and denominator?

• You get 4.

• You get 2.

• You get 0.

• You get 1.

What is the final result when you solve 2 to the power of 3 multiplied by 2 to the power of -2?

• 2

• 1

• 0

• 4