Exponent Rules With Variable

If a number or variable does not have an exponent, we can assume the exponent is:

• 0

• 1

The power of a power rule says that when an exponential expression is raised to a power (as shown above), you should _________ the inner and outer exponents

• add

• subtract

• multiply

• divide

• a⁷
• a¹⁰
• a³
• a^-3

According to exponent rules, when we raise a power to a power we _______ the exponents.

Example: (d²)⁵

• add

• subtract

• multiply

• divide

Anything raised to a power of zero is always: 

• 0

• 1

• itself

• negative

Anything raised to the power of zero is always: 

• 0

• 1

• itself

• negative

Match the following examples with the correct math operation.

• Subtract the exponents

• Add the exponents

• Multiply the exponents

Simplify

(v⁵)(v⁵)

• v¹⁰

• v²⁵

• 2v¹⁰

• 2v²⁵

Simplify the following expression:

(b³)⁸

• b¹¹

• 8b³

• b²⁴

• 24b

Simplify

• y²

• y³⁵

• y¹²

• y¹⁴