Exploring Exponents with Negative Bases

The video tutorial by Mr. J covers the concept of exponents with negative bases. It explains the importance of parentheses in determining whether the negative sign is part of the base or not. Through examples, the video demonstrates how to calculate powers of negative numbers, both with and without parentheses, highlighting the differences in results. The tutorial includes four examples: negative five squared, negative two cubed, negative three to the power of four, and negative ten cubed, providing a clear understanding of how to handle negative bases in exponentiation.

What does an exponent indicate in mathematical operations?

• The number of times a base is divided by itself

• The number of times a base is multiplied by itself

• The number of times a base is added to itself

• The number of times a base is subtracted from itself

What is the result of (-5)^2 when the negative sign is included in the parentheses?

• 10

• 25

• -25

• 0

What does a negative times a negative yield?

• A positive

• The same number

• A negative

• Zero

How does the result of -5^2 differ when the negative sign is not included in the parentheses?

• 0

• -25

• 5

• 25

In the expression -1 * 5^2, what operation is performed first?

• Multiplication

• Exponentiation

• Subtraction

• Addition

What is the result of (-2)^3?

• -6

• 6

• -8

• 8

How does the calculation of -2^3 compare when parentheses are not used?

• 6

• -6

• 8

• -8

What is the outcome of (-3)^4?

• 12

• -81

• 81

• -12

Calculate the result of (-10)^3.

• -100

• 100

• -1000

• 1000

What is the result of -10 * -10 * -10 without parentheses?

• -1000

• 1000

• -100

• 100