Exponent Laws Combined

In order to multiply powers with the same base, we add their exponents. 

• True 

• False

Simplify the following expression:

2x³y⁵ ⋅ 5xy²

• 10x⁴y⁷

• 7x⁴y⁷

• 10x³y¹⁰

• 7x³y¹⁰

Simplify the following expression:

(2a²b⁴z)(6a³b²z⁵)

• 8a⁵b⁶z⁶

• 12a⁶b⁸z⁵

• 12a⁵b⁶z⁶

• 8a⁶b⁸z⁵

Simplify:  (5p⁹q³)(2pq⁷)

• 7p¹⁰q¹⁰

• 10p⁹q²¹

• 10p¹⁰q¹⁰

• 10p⁸q^-4

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

• add

• subtract

• multiply

• divide

Simplify the following expression:

(7a²)(5a⁶b)²

• 35a¹⁴b²

• 175a¹²b²

• 175a¹⁴b²

• 35a¹⁴b

Quotient Rule: For LIKE BASES, keep the base the same and __________exponents.

• multiply

• add

• subtract

• divide

Evaluate the expression using the quotient of powers rule.

• a⁸b¹³

• a²b⁷

• a¹⁵b³⁰

• a⁸b⁷

• 3x^-1y^-5

• 3x²y

• 3xy⁵

• -3x³y⁷

What does the zero exponent rule say?

• Anything to a zero exponent is ZERO

• Anything to a zero exponent is ONE

• Anything to a zero exponent is FIVE

• Anything to a zero exponent is TWO