Exponent Rules: Mastering the Multiplication Law

Mr. McClean introduces the second lesson on exponent rules, reviewing basic exponent concepts and the additive law of exponents. He then explains the multiplicative law of exponents, demonstrating how to solve problems using expanded form. The lesson includes practice problems to reinforce understanding and concludes with a summary of the key rules.

What does an exponent tell you?

• The product of the base

• The sum of the factors

• The value of the base

• The number of factors

What is the result of multiplying two exponents with the same base?

• You subtract the exponents

• You divide the exponents

• You add the exponents

• You multiply the exponents

What does '2 to the 3rd times 2 to the 3rd' in expanded form result in?

• 2 to the 9th

• 2 to the 6th

• 4 to the 3rd

• 8 to the 2nd

How do you simplify an expression with an exponent on an exponent?

• Divide the exponents

• Subtract the exponents

• Add the exponents

• Multiply the exponents

What is the simplified form of '3 squared to the fifth power'?

• 9 to the 5th

• 3 to the 10th

• 3 to the 25th

• 15 to the 2nd

If you have 'x squared to the fourth power', how many factors of x do you end up with?

• 8

• 6

• 4

• 16

What is the result of '2 to the 5th times 2 to the 9th'?

• 10 to the 2nd

• 4 to the 14th

• 2 to the 45th

• 2 to the 14th

How do you simplify '2 to the 5th to the 9th'?

• 9 to the 2nd

• 2 to the 5th

• 2 to the 45th

• 2 to the 14th

What does 'three to the fourth to the third' simplify to?

• 9 to the 4th

• 3 to the 7th

• 12 to the 3rd

• 3 to the 12th

What is the simplified form of 'x squared to the 7th power'?

• x to the 14th

• 7x squared

• x to the 49th

• x to the 7th