Negative Indices and Exponents

The video tutorial explains the concept of fractional form and negative indices, demonstrating how to convert between these forms. It covers the process of simplifying expressions using positive indices and provides advanced examples for practice. The tutorial emphasizes the importance of understanding the order of operations when dealing with indices.

What is the fractional form of 4 to the power of -1?

• 2

• 1/2

• 1/4

• 4

If a number has no sign in front, what can we assume about its sign?

• It is negative

• It is undefined

• It is positive

• It is zero

What is the negative index form of 1/5?

• 5^1

• 5^-1

• 5^0

• 5^2

When dividing numbers with the same base, what operation is performed on the indices?

• Divide the indices

• Add the indices

• Multiply the indices

• Subtract the indices

What is the simplified form of x^3 / x^4 using positive indices?

• x^1

• x^7

• 1/x

• x

What is the fractional form of 5 to the power of -2?

• 25

• 5

• 1/25

• 1/5

What is the result of converting 1/49 to a negative index form?

• 7^2

• 49^1

• 7^-2

• 49^-1

What happens to the sign of the index when you move from the denominator to the numerator?

• It doubles

• It remains the same

• It becomes negative

• It becomes positive

What is the fractional form of 7 to the power of -2?

• 49

• 1/7

• 1/49

• 7

What is the negative index form of 1/7^2?

• 7^-1

• 7^-2

• 7^2

• 7^1