Understanding Exponents with Negative Bases

The video tutorial explains how to apply exponents to negative bases, emphasizing the importance of notation. It clarifies that a negative sign in front of a base does not imply a negative base unless parentheses are used. The tutorial provides examples to demonstrate how different notations affect the outcome of calculations, highlighting the sensitivity of calculators to these notations.

What does an exponent indicate in a mathematical expression?

• The number of times a base is subtracted from 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 divided by itself

Why might a calculator display a negative result when calculating an exponent with a negative base?

• The exponent is too large for the calculator

• The calculator cannot handle negative numbers

• The base is not in parentheses, so the negative sign is applied after the calculation

• The calculator is malfunctioning

How should you write a negative base in an expression to ensure it is calculated correctly?

• Place the negative sign after the base

• Write the base as a fraction

• Enclose the negative base in parentheses

• Use a positive base and subtract the result

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

• 8

• -8

• 4

• -4

If the base is -1 and the exponent is 5, what is the result?

• -1

• 1

• 0

• 5