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

 $w^{15}\ \cdot\ \frac{1}{w^5}$  

• w¹⁰

• w²⁰

• w³

•  $\frac{1}{w^{75}}$  

(2x⁹/5y⁴)⁴

• 8x³⁶/20y¹⁶
• 16x¹³/625y⁸
• 16x^9/4/625y¹
• 16x³⁶/625y¹⁶

Anything raised to a power of zero is always: 

• 0
• 1
• itself
• negative

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

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸ / h³

• add
• subtract
• multiply
• divide

(2⁸)²

• 2¹⁶
• 2¹⁰
• 2⁶
• 2⁴

3³ ⋅ 3

• 3⁴
• 3³
• 3⁰
• 1 ⁄ 3⁴