Simplifying Expressions with Negative Exponents

The video tutorial explains how to simplify mathematical expressions with negative exponents. It covers two main examples, highlighting the difference between expressions with and without parentheses. The tutorial also addresses expressions involving variables, demonstrating the application of the negative exponent property. The video concludes with a summary of the simplification process and key takeaways.

What is the main difference between the expressions in number one and number two?

• The sign of the base.

• The value of the exponent.

• The type of operation used.

• The presence of parentheses around the base.

According to the negative exponent property, what does a raised to the power of negative n equal?

• a times n

• 1 over a raised to the power of n

• a raised to the power of n

• n over a

How is the expression eight raised to the power of negative two simplified?

• 64

• 1 over 64

• Negative 1 over 64

• 8

What is the result of simplifying the expression with negative eight in parentheses raised to the power of negative two?

• Negative 1 over 64

• 1 over 64

• 64

• Negative 64

In expression three, what is the base that the negative exponent is applied to?

• Negative 5y

• 5

• 5y

• y

How is the expression five y raised to the power of negative one simplified?

• y over 5

• Negative 5 over y

• 1 over 5y

• 5 over y

What is the simplified form of negative five y raised to the power of negative one?

• Negative 5 over y

• 5 over y

• 1 over 5y

• Negative 1 over 5y

Why is the negative sign usually not left in the denominator?

• It is more aesthetically pleasing.

• It is a mathematical convention.

• It is required by the negative exponent property.

• It makes calculations easier.

What does the exponent of one indicate in the expression simplification?

• The base is positive.

• The base is negative.

• There is one factor of the base.

• There are two factors of the base.

How is the expression five times one over y simplified?

• y over 5

• 5y

• 1 over 5y

• 5 over y