Product of Powers and Exponents

The video tutorial from Friendly Math 101 covers the product of powers exponent law. It explains that when multiplying terms with the same base, you can add the exponents. The tutorial provides examples using variables like x, m, and n, and includes a scenario with coefficients. The lesson concludes with an invitation for questions and encourages viewers to subscribe for more tutorials.

What does the product of powers law state when the bases are the same?

• Divide the exponents

• Multiply the exponents

• Subtract the exponents

• Add the exponents

If you have x squared times x cubed, what is the result according to the product of powers law?

• x to the power of 4

• x to the power of 6

• x to the power of 3

• x to the power of 5

Why does x squared times x cubed equal x to the fifth power?

• Because you multiply the exponents

• Because you add the exponents

• Because you subtract the exponents

• Because you divide the exponents

In the example with M and N, what is the result of M cubed times M to the first power?

• M to the power of 2

• M to the power of 3

• M to the power of 4

• M to the power of 5

How many times is N multiplied by itself in the expanded form of the example with M and N?

• Five times

• Seven times

• Four times

• Six times

What is the result of M cubed times M to the first power and N squared times N to the fourth power?

• M to the fifth and N to the sixth

• M to the fourth and N to the fifth

• M to the fourth and N to the sixth

• M to the third and N to the sixth

In the problem with coefficients, what is the result of multiplying 3 times 4?

• 7

• 10

• 15

• 12

How many times is 'a' multiplied by itself in the problem with coefficients?

• Six times

• Three times

• Four times

• Five times

What is the result of a to the third power times a squared?

• a to the power of 6

• a to the power of 4

• a to the power of 7

• a to the power of 5

In the problem with coefficients, what is the result of B to the first power times B squared?

• B to the power of 2

• B to the power of 3

• B to the power of 4

• B to the power of 5