Exponent Rules Review

Simplify: @@(-2) \times (-5)@@

• -10

• 0

• 5

• 10

What is the product of two powers with the same base?

• You multiply the bases and keep the exponents the same.

• You add the exponents of the bases.

• You subtract the exponents of the bases.

• You multiply the exponents and keep the base the same.

Simplify: @@5^0@@

• 0

• 1

• 5

• 10

What is the zero exponent rule?

• Any non-zero number raised to the power of zero is equal to one. For example, @@a^0 = 1@@ (where a ≠ 0).

• Any number raised to the power of zero is equal to zero.

• Any non-zero number raised to the power of one is equal to zero.

• Any number raised to the power of zero is equal to one.

Simplify: @@ (2^3)^2 @@

• @@ 2^{3 imes 2} = 2^6 @@

• @@ 2^{3 + 2} = 2^5 @@

• @@ 2^{3 imes 3} = 2^9 @@

• @@ 2^{2 imes 3} = 2^6 @@

What is the quotient of two powers with the same base?

• You multiply the exponents.

• You add the exponents.

• You subtract the exponents.

• You raise the base to the power of the sum of the exponents.

What is the exponent rule for multiplying coefficients?

• When multiplying coefficients, add the exponents of the variables.

• When multiplying coefficients, multiply the numbers in front of the variables. For example, @@ (3k^2)(4k^3) = 12k^{2+3} = 12k^5 @@.

• When multiplying coefficients, subtract the exponents of the variables.

• When multiplying coefficients, divide the numbers in front of the variables.

What is the product of a negative and a positive number?

• Positive

• Negative

• Zero

• Undefined

Simplify: @@\frac{k^3}{5k}@@

• @@\frac{k^2}{5}@@

• @@\frac{k^3}{5}@@

• @@\frac{5k^2}{k}@@

• @@\frac{k^3}{k}@@

Simplify: @@(3k^5)(-2k^3)@@

• @@-6k^8@@

• @@-5k^8@@

• @@-6k^7@@

• @@-6k^6@@