Product of a Power and Quotient of a Power of Exponents

Simplify the following expression using the Product Rule of Exponents:

 $x^5\cdot x^2$  

•  $x^3$  

•  $x^7$  

•  $x^3$  

•  $\frac{1}{x^{3\ }}$  

Simplify the following expression using the Product Rule of Exponents:

 $2^3\cdot2^2$  

•  $2$  

•  $2^6$  

•  $2^1$  

•  $2^5$  

When given a problem that requires Product of a Power, how do we simplify the expression?

• Keep the bases and add the exponents

• Keep the exponents and add the bases.

• Keep the bases and multiply exponents

• Keep the exponents and multiply the bases

Simplify

 $3^4\cdot3^5$  

•  $3^9$  

•  $3^{\left(4+5\right)}$  

•  $3^{20}$  

Determine parts of the expression provided:

 $5^{10}$  

• 10 is the base and 5 is the exponent.

• 5 is the base and 10 is the coeeficient

• 10 is the base and 5 isthe coefficient

• 5 is the base and 10 is the exponent

Evaluate the following expression:

 $2^3\cdot2^2$  

(a)  

Evaluate this expression using the quotient rule.

• 9⁵
• 9⁹
• 1⁵
• 9^-5

Tags

CCSS.8.EE.A.1

Evaluate the expression using the quotient rule.

• 1²²
• 1³⁰
• 6²²
• 6³⁰

Tags

CCSS.8.EE.A.1

30y¹² / 15y²

• 2y²⁴
• 2¹⁰
• 2y¹⁰
• 2y¹⁴

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Simplify the expression.

• 7⁶
• 7^-5
• 1/7⁵
• 7⁵

Tags

CCSS.HSA.APR.A.1