The Laws of Exponents

Which statement best describes the Product of Powers rule?

• When raising a power to a power, multiply the exponents.

• When multiplying terms with the same base, add the exponents.

• When dividing terms with the same base, subtract the exponents.

• Any non-zero base raised to the power of zero equals 1.

The Quotient of Powers rule states:

• Add exponents when multiplying like bases.

• Multiply exponents when raising a power to a power.

• Subtract exponents when dividing like bases.

• Invert the base when the exponent is negative.

What is the correct way to simplify (xᵐ)ⁿ?

• xᵐ⁺ⁿ

• xᵐ⁻ⁿ

• xᵐⁿ

• xᵐ/ⁿ

How do you simplify (xy)ⁿ?

• xⁿ + yⁿ

• xⁿyⁿ

• xⁿ/yⁿ

• xⁿ - yⁿ

Which expression is equivalent to (x/y)ⁿ?

• xⁿ + yⁿ

• xⁿ - yⁿ

• xⁿ/yⁿ

• xⁿyⁿ

What is the value of x⁰ (where x ≠ 0)?

• 0

• 1

• x

• Undefined

How do you rewrite x⁻ⁿ?

• 1/xⁿ

• -xⁿ

• xⁿ

• 1/(-xⁿ)

(2a)³ = 6a³

• True

• False

Answer explanation

The exponent applies to both the coefficient and the variable; the correct answer is 8a³.

(y²)⁴ = y⁸

• True

• False

 (3x²y)⁰ = 0 

• True

• False

Answer explanation

Any non-zero base raised to the power of zero is 1.