Apply Exponents to Negative Bases

The video tutorial explains how to apply exponents to negative bases, emphasizing the importance of recognizing when a base is truly negative by using parentheses. It highlights common mistakes students make, such as not using parentheses, which leads to incorrect results. The tutorial demonstrates patterns in results when using odd and even exponents, showing that even exponents result in positive outcomes while odd exponents result in negative outcomes. The video concludes with practice problems to reinforce the concepts learned.

What is necessary for a base to be considered truly negative?

• The base must be a positive number.

• The negative sign must be inside the parentheses with the base.

• The negative sign must be outside the parentheses.

• The base must be a negative number.

If you see a negative sign in front of a base without parentheses, what should you do?

• Add the negative sign to the base.

• Ignore the negative sign.

• Treat the base as negative.

• Multiply the result by negative 1 after applying the exponent.

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

• 6

• -6

• -9

• 9

Why do negative bases raised to even exponents result in positive numbers?

• Because the exponent is even.

• Because the base is squared.

• Because the negatives cancel each other out.

• Because the base becomes positive.

What pattern emerges when negative bases are raised to odd exponents?

• The result is zero.

• The result alternates between positive and negative.

• The result is always negative.

• The result is always positive.

What is the result of (-1)^15?

• 15

• -1

• 0

• 1

What is the correct result of -4^2?

• -8

• 16

• -16

• 8