Simplifying an expression using properties of exponents

The video tutorial explains how to divide a polynomial expression by another, focusing on both numerical coefficients and variables. It starts by dividing the numbers, then applies the quotient property to subtract the powers of variables with the same base. The expression is simplified, and negative exponents are addressed by moving them to the denominator. The final solution is presented in a simplified form.

What is the result of dividing 15 by -3?

• -3

• 3

• -5

• 5

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

• Add the exponents

• Multiply the exponents

• Subtract the exponents

• Divide the exponents

What is the simplified form of c^5 divided by c^2?

• c^3

• c^7

• c^2

• c^10

How do you make a negative exponent positive in a fraction?

• Add 1 to the exponent

• Move the term to the numerator

• Move the term to the denominator

• Subtract 1 from the exponent

What is the final simplified form of the expression 15c^5 d^3 divided by -3c^2 d^7?

• 5c^3 / d^4

• -5c^3 d^4

• -5c^3 / d^4

• 5c^3 d^4