Simplifying Exponential Expressions

The video tutorial explores the multiplication of numbers in exponential form, focusing on discovering rules for multiplying powers with the same base. It introduces a shortcut for adding exponents and provides exercises to practice simplifying exponential expressions. The tutorial also covers handling complex expressions and simplifying those with different bases, concluding with a final exercise.

What is the expanded form of 3 to the 4th power?

• 3 times 4

• 4 times 3

• 3 to the 11th power

• 3 times 3 times 3 times 3

How can you simplify 5 to the 3rd power times 5 to the 5th power?

• 5 to the 15th power

• 5 to the 8th power

• 5 to the 5th power

• 5 to the 3rd power

What is the result of negative 3 to the 9th power times negative 3 to the 5th power?

• Negative 3 to the 4th power

• Negative 3 to the 5th power

• Negative 3 to the 14th power

• Negative 3 to the 45th power

If you have 2 to the 5th power times 16, what is the simplified form?

• 2 to the 9th power

• 2 to the 20th power

• 2 to the 5th power

• 16 to the 5th power

What is the simplified form of 6 to the 5th power times 6 to the 14th power?

• 6 to the 19th power

• 6 to the 9th power

• 6 to the 14th power

• 6 to the 5th power

How can you express 8 squared in terms of base 2?

• 8 to the 2nd power

• 2 to the 8th power

• 2 to the 4th power

• 2 to the 6th power

What is the simplified form of 15 squared times 15?

• 15 to the 3rd power

• 15 to the 5th power

• 15 to the 2nd power

• 15 to the 4th power

What is the simplified form of 2 to the 4th power times 8 squared?

• 2 to the 6th power

• 2 to the 10th power

• 8 to the 4th power

• 2 to the 8th power

What is the area of a square with side lengths x squared by y to the third?

• X to the 3rd power times Y squared

• X to the 4th power times Y to the 6th power

• X to the 6th power times Y to the 4th power

• X squared times Y to the 3rd power

How do you simplify 4 times 12 times X squared times X to the 5th power?

• 12 times X to the 5th power

• 4 times X to the 7th power

• 48 times X to the 5th power

• 48 times X to the 7th power