Exponent Rules Multiplying and Quotient Rules

The quotient rule states that when dividing powers with the same base, you __________________________ the exponents.

• add

• subtract

• multiply

• divide

Simplify.

• y¹⁵

• y⁵

• y²

• 2y⁵

How would you simply (2x⁵)(6x⁴) ?

• MULTIPLY both the coefficients and MULTIPLY the exponents

• DIVIDE the coefficients then SUBTRACT the exponents

• Combine like terms

• MULTIPLY the coefficients then ADD exponents

x⁻⁶

• 1 ⁄ x⁶

• x⁶

• -x⁶

• -1 ⁄ x⁶

Simplify the following expression:

xy^-7

• 1/xy⁷

• x/y⁷

• x⁷/y

• x⁷y

(2x³y)⁶

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

Which expression(s) are equivalent to 5⁵?

• 5⁴⋅5⁰ and 5⁴⋅5¹

• 5⁴⋅5¹ and 5⁴⋅5²

• 5⁴⋅5² and 5⁶⋅5^-1

• 5⁴⋅5¹ and 5⁶⋅5^-1

Simplify using exponent rules.

• 19,683y³

• 243y³

• y³/243

• y³/19,683

Which statement is correct?

• 1⁰ = 1

• 0¹ = 1

• 1⁰ = 0

• 0⁰ = 1

Anything (except zero) raised to a power of zero equals:

• 0

• 1

• itself

• negative