Understanding Negative Exponents

The video tutorial on negative exponents explains how to simplify expressions involving negative exponents by applying basic exponent properties. It covers the concept of reciprocals, the effect of moving terms across the fraction bar, and provides examples to illustrate these rules. The tutorial also includes complex examples with multiple variables and operations, emphasizing the importance of converting negative exponents to positive ones for simplified answers.

What is the reciprocal of a number raised to a negative exponent?

• One divided by the number raised to a positive exponent

• The number raised to zero

• The number raised to a positive exponent

• The number itself

If 3 raised to the power of -2 equals 1/9, what is 3 raised to the power of 2?

• 3

• 1/3

• 1/9

• 9

How does moving a factor across the fraction bar affect its exponent?

• It halves the exponent

• It doubles the exponent

• It changes the sign of the exponent

• It squares the exponent

What is the result of simplifying 2^-2 divided by 5^-2?

• 1/25

• 4/25

• 5/2

• 25/4

When multiplying expressions with the same base, what should you do with the exponents?

• Divide them

• Add them

• Subtract them

• Multiply them

How do you simplify an expression with a negative exponent in the denominator?

• Move it to the numerator and change the sign of the exponent

• Leave it as is

• Multiply it by zero

• Add one to the exponent

In the expression 6 x 2 = 12, M^-4 x M^-2, what is the simplified form of M?

• M^6

• M^2

• M^-6

• M^-2

What is the simplified form of X^-1 divided by X^-4?

• X^5

• X^-3

• X^3

• X^-5

How do you handle powers raised to powers in expressions?

• Subtract the exponents

• Add the exponents

• Multiply the exponents

• Divide the exponents

What is the final simplified form of B^7 divided by B^2?

• B^5

• B^2

• B^9

• B^-5