Laws of Exponents Definitions

Power of 1: a¹

• Anything to the zero power equals 1.

• Keep the base the same and subtract the exponents.

• Anything to the power of 1 equals itself.

• Keep the base the same and add the exponents.

• Keep the base the same and multiply the exponents.

Power of 0: a⁰

• Anything to the zero power equals 1.

• Keep the base the same and subtract the exponents.

• Anything to the power of 1 equals itself.

• Keep the base the same and add the exponents.

• Keep the base the same and multiply the exponents.

Negative Power: a^-n

• Anything to the zero power equals 1.

• Keep the base the same and subtract the exponents.

• Take the reciprocal and make the exponent positive.

• Keep the base the same and add the exponents.

• Keep the base the same and multiply the exponents.

Power of a Product: aⁿ * a^m

• Anything to the zero power equals 1.

• Keep the base the same and subtract the exponents.

• Take the reciprocal and make the exponent positive.

• Keep the base the same and add the exponents.

• Keep the base the same and multiply the exponents.

• x⁴
• x⁸
• x¹²
• x²⁰

Which expression is equivalent to the expression for all values of q where the expression is defined?

• q²⁷

• 1/q²⁷

• q³

• 1/q³

• 5^-8
• 5²
• 25^-8
• 25²

• 0
• 3
• 1
• -1

• 6^-2
• 1/6²
• 1/36
• All of the above

Simplify:

• x³

• x¹¹

• 1/x¹¹

• 1/x³