Understanding Properties of Exponents

What does the product rule for exponents state?

• Subtract the exponents when dividing like bases.

• Add the exponents when multiplying like bases.

• Multiply the bases and subtract the exponents.

• Divide the bases and add the exponents.

In the expression 2m^4 * m^-3, what is the simplified form?

• 2m^1

• 2m^0

• 2m

• 2m^7

How do you rewrite 8r^-1 to ensure only positive exponents?

• 8r

• 8/r

• 8r^1

• 8r^0

What is the result of simplifying 4n^4 * n^-3?

• 4n^7

• 4n^1

• 4n^0

• 4n

In the expression 2x^3 * x^-1 * y^-3 * y^3, what is the simplified form?

• 4x^2

• 4x^2y^3

• 4x^3y^0

• 4x^2y

What is the simplified form of 6y^2 * x?

• 6y^3x

• 6y^2x^2

• 6x^2y

• 6xy^2

How do you express 12a^-1b^-1 with positive exponents?

• 12/a^1b^1

• 12/a^1b^1

• 12ab

• 12/a^1b

What is the simplified form of x^2 * x^3 * y^-4 * y^2?

• x^5/y^2

• x^5y^2

• x^5/y

• x^5y^-2

How do you rewrite y^-2 to ensure only positive exponents?

• 1/y^2

• y^2

• y

• 1/y

What is the result of simplifying x^5/y^2?

• x^5/y^2

• x^5y^-2

• x^5y^2

• x^5y