Understanding Exponent Rules and Properties

The video tutorial explains how to simplify exponential expressions using exponent rules. It covers the rule for dividing powers with the same base, handling negative exponents, and the zero exponent rule. Examples are provided to demonstrate these concepts, including using a calculator to evaluate expressions. The tutorial emphasizes understanding the simplification process by identifying common factors and converting negative exponents to positive.

What is the result of dividing a^m by a^n when the bases are the same?

• a^(m*n)

• a^(n-m)

• a^(m+n)

• a^(m-n)

How does moving a term with a negative exponent across the fraction bar affect the exponent?

• It changes the sign of the exponent

• It changes the exponent to zero

• It squares the exponent

• It doubles the exponent

In the expression 2^4 / 2^2, what is the simplified result?

• 2^8

• 2^2

• 2^6

• 2^0

What is the value of 3^6?

• 81

• 729

• 512

• 243

How do you simplify 5^-2 / 5^-1?

• 5^-1

• 5^0

• 5^-3

• 5^1

What is the simplified form of 1 / 5^1?

• 1

• 5^0

• 1/5

• 5

What is the result of 4^4 / 4^4?

• 0

• 1

• 4^0

• 4^8

What is the value of any non-zero number raised to the power of zero?

• Zero

• One

• The number itself

• Infinity

Which of the following is not a valid exponent rule?

• a^m * a^n = a^(m+n)

• a^m / a^n = a^(m-n)

• a^m + a^n = a^(m+n)

• 1/a^m = a^-m

What happens when you divide a number by itself?

• The result is zero

• The result is one

• The result is undefined

• The result is the number itself