Understanding Exponents in Division

This video tutorial covers the rules for dividing exponents, starting with basic examples and progressing to more advanced cases, including handling negative exponents. The instructor demonstrates how to divide coefficients and subtract exponents, providing clear examples to illustrate each step. The video concludes with a brief introduction to negative exponents, explaining how to handle them by moving them to the denominator.

What is the first step when dividing expressions with exponents?

• Multiply the coefficients

• Subtract the coefficients

• Add the exponents

• Divide the coefficients

In the expression 25x^3 / 5x, what is the result of dividing the coefficients?

• 1

• 25

• 5

• 10

What is the exponent of x in the simplified form of 25x^3 / 5x?

• x^1

• x^2

• x^3

• x^0

How do you simplify the expression 8x^5 / 2x^2?

• 4x^3

• 4x^2

• 8x^2

• 8x^3

What is the result of dividing the coefficients in 8x^5 / 2x^2?

• 2

• 3

• 4

• 5

In the expression 4x^4 / 2a^2, what happens to the exponents?

• They are subtracted

• They are added

• They are divided

• They are multiplied

What is the simplified form of 4a^2 / 2a^4?

• 2/a^2

• 1/a^2

• 2a^2

• a^2

What should you do with a negative exponent in the numerator?

• Ignore it

• Add it to the denominator

• Move it to the denominator

• Leave it as is

What is the final result of 4a^2 / 2a^4 after handling the negative exponent?

• a^2

• 2/a^2

• 1/a^2

• 2a^2