Exponent Rules

Calculate @@ ext{(4ab}^6)^2@@.

• 16a^2b^{12}

• 8a^2b^{10}

• 16ab^{12}

• 4a^2b^{6}

If @@a = 2@@ and @@b = 3@@, what is @@(ab)^2@@?

• 24

• 30

• 36

• 18

What does the quotient rule state about dividing exponents with the same base?

• Keep the base and add the exponents.

• Keep the base and subtract the exponents.

• Change the base and subtract the exponents.

• Change the base and add the exponents.

Calculate @@ ext{(3x}^{-3}y)(5x^7 imes y^2)@@.

• 15x^4y^3

• 15x^4y^2

• 15x^5y^3

• 15x^3y^3

What happens to the exponent when you raise a product to a power, like @@ (ab)^n @@?

• @@ (ab)^n = a^n b^n @@

• @@ (ab)^n = a^{n} + b^{n} @@

• @@ (ab)^n = a^{n} - b^{n} @@

• @@ (ab)^n = a^n / b^n @@

If @@x = 4@@, what is @@x^{-2}@@?

• @@rac{1}{16}@@

• @@rac{1}{8}@@

• @@rac{1}{4}@@

• @@rac{1}{2}@@

What does the product rule state about multiplying exponents with the same base?

• Keep the base and multiply the exponents.

• Keep the base and add the exponents.

• Change the base and add the exponents.

• Multiply the bases and keep the exponents.

What is the value of @@x^0@@ for any non-zero x?

• 0

• 1

• x

• undefined