Exponent Rules

Using exponents, simplify the following expression:

5⁵ * 5^-3

• 5^-15

• 5⁸

• 5^-8

• 5²

Using exponents, simplify the following expression:

(f^-6)(f¹⁰)

• f¹⁶

• f⁴

• 1/f⁴

• 1/f¹⁶

Using exponents, simplify the following expression:

z^-3 * z⁶ * z^-3

• 1

• z⁶

• z⁵⁴

• 1/z⁶

Using exponents, simplify the following expression

• x^-7

• 1/x⁷

• x⁷

• x^-9

Simplify the expression

• x⁵

• 1/x⁵

• x¹³

• 1/x¹³

Select ALL solutions that are equivalent to the following expression:

3^-5 * 3²

• 3^-10

• 3^-3

• 1/3¹⁰

• 1/3³

The Quotient of Powers Property says, "to divide powers with the same base, _________ the exponents."

ex.  $\frac{\text{}y^6}{\text{}y^3}$  

• Divide

• Add

• Multiply

• Subtract

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

• add
• subtract
• multiply
• divide

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

• add
• subtract
• multiply
• divide

(2⁸)²

• 2¹⁶
• 2¹⁰
• 2⁶
• 2⁴