Negative Exponents and Their Rules

The video tutorial covers division with exponents, focusing on the concept of negative indices. It begins with basic examples of division with the same base and progresses to explaining negative indices, emphasizing how they transform into fractions. The tutorial includes practical examples and a mnemonic to help remember the concept, ensuring a comprehensive understanding of negative indices and their application in mathematical expressions.

What is the result of dividing 2^10 by 2^7?

• 2^17

• 2^7

• 2^10

• 2^3

When dividing powers with the same base, what operation is performed on the exponents?

• Division

• Subtraction

• Addition

• Multiplication

What is the result of 2^0 divided by 2^5?

• 2^5

• 2^-5

• 2^0

• 2^10

What does a negative index indicate in terms of fractions?

• The base is doubled

• The base moves to the denominator

• The base is halved

• The base is squared

How can you remember the rule for negative indices?

• Multiply the indices

• Cross the line, change the sign

• Subtract the indices

• Add the indices

What is 3^-2 equivalent to?

• 1/3

• 3^2

• 1/3^2

• 3

In the expression 2^3 * 3^-5, where does 3^-5 go?

• Numerator

• Denominator

• Exponent

• Base

What happens to a base with a negative exponent in a fraction?

• It moves to the denominator

• It moves to the numerator

• It remains unchanged

• It becomes zero

If both bases in an expression have negative exponents, where do they go?

• Both in the numerator

• Both in the denominator

• One in the numerator, one in the denominator

• They cancel each other out

What is the result of 2^-3 * 3^-2?

• 1/(2^3 * 3^2)

• 2^3 * 3^2

• 1/(2^-3 * 3^-2)

• 2^-3 * 3^-2