Dividing Exponents with Same Base

Jimmy Chang, a math expert, explains how to divide exponents using a fundamental rule: B to the M over B to the N equals B to the M minus N. He provides examples, including cases with negative and decimal exponents, emphasizing the importance of matching bases. The video covers the negative exponent rule and demonstrates how to handle decimal exponents, ensuring a comprehensive understanding of dividing exponents.

What materials are suggested for the exercise on dividing exponents?

• A computer and a textbook

• A whiteboard and markers

• A ruler and a notebook

• A pen or pencil, paper, and a calculator

What is the fundamental rule for dividing exponents with the same base?

• Divide the exponents

• Subtract the exponents

• Multiply the exponents

• Add the exponents

What happens to the exponent when you divide two exponents with the same base?

• It is added

• It is divided

• It is multiplied

• It is subtracted

If you have X^7 divided by X^4, what is the result?

• X^11

• X^1

• X^28

• X^3

Why can't you divide Y^4 by X^4 using the same rule?

• The exponents are different

• The exponents are the same

• The bases are different

• The bases are the same

What is the result of X^7 divided by X^7?

• X^0

• X^1

• X^14

• X^-7

What is the result of X^0 divided by X^0?

• 1

• X^0

• X^-1

• X^1

What is the result of X^10 divided by X^11?

• X^21

• X^-1

• X^1

• X^0

What does a negative exponent indicate?

• The base is negative

• The exponent should be moved to the numerator

• The exponent should be moved to the denominator

• A number is negative

How can you express X^-1 in positive exponent form?

• X^0

• 1/X

• X

• X^1