Exponential Functions and Properties

This video tutorial provides a quick review of negative exponents. It covers the basic rule that a negative exponent indicates a reciprocal, demonstrated with examples like 2^-3 = 1/2^3. The tutorial also explains the reciprocal rule for negative exponents, showing how 1/a^-m equals a^m. Finally, it discusses the rule for exponents crossing fraction bars, where the exponent's sign changes when moving terms across the fraction line, illustrated with examples such as 3^-3/4^-2 = 4^2/3^3.

What is the result of 2 raised to the power of -3?

• 2

• 8

• 1/8

• 1/2

If 1 divided by 2 raised to the power of -3 equals 2 raised to which power?

• 0

• -3

• 1

• 3

What is the simplified form of 3 raised to the power of -3 divided by 4 raised to the power of -2?

• 4^3 / 3^2

• 3^3 / 4^2

• 4^2 / 3^3

• 3^2 / 4^3

When an exponential term crosses the fraction bar, what happens to the exponent?

• It doubles

• It becomes positive

• It changes sign

• It remains the same

Which of the following is true for a^(-m) when it crosses the fraction bar?

• It becomes 1/a^m

• It becomes a^m

• It becomes a^(-m)

• It becomes 1/a^(-m)