Simplifying Exponents Review

Exponents Review

Multiplication of exponents

 $x^4\cdot x\cdot x^6$  




 $2x^2\cdot-5x^5$  

Multiple Choice

Multiply.
-x² ⋅ 3x⁵ ⋅ x^-2

• -3x⁵
• 3x²⁰
• -3x⁹
• 3x^-20

Multiple Choice

Multiply.

(4x)(3x³)(x³)

• 7x⁹

• 12x¹⁰

• 12x⁷

• 7x⁷

Power to a power

 $\left(2x^2\right)^5$  





 $\left(2x^5y^8\right)^3$  

Multiple Choice

(4p³q⁶)⁴

• 4p¹²q²⁴
• 256p⁷q¹⁰
• 256p¹²q²⁴
• 4p⁷q¹⁰

Multiple Choice

Simplify:

(xy²)⁴

• x⁴y²

• x⁴y⁸

• x³y²

• x⁵y⁶

Multiple Choice

Simplify:

(xy²)⁴

• x⁴y²

• x⁴y⁸

• x³y²

• x⁵y⁶

Division of exponents

 $\frac{x^5}{x^3}$  



 $\frac{125x^{16}y^5}{5x^{10}y}$  

Multiple Choice

Evaluate the expression using the quotient of powers rule.

• a⁸b¹³

• a²b⁷

• a¹⁵b³⁰

• a⁸b⁷

Multiple Choice

Evaluate the expression using the quotient of powers rule.

• a⁸b¹³

• a²b⁷

• a¹⁵b³⁰

• a⁸b⁷

Zero exponents

 $x^0$  






 $\left(\frac{5xyz}{6678xyz}\right)^0$  

Negative Exponents

 $x^{-10}$  


 $\frac{1}{y^{-3}}$  



 $\left(\frac{x^{-2}y^{-4}}{z^{-5}}\right)$  

Multiple Choice

Rewrite using a positive exponent.

w^-13

• -w¹³

• ¹/_w¹³

• ¹/_w^-13

• w¹³

Multiple Choice

Rewrite using a positive exponent.

w^-13

• -w¹³

• ¹/_w¹³

• ¹/_w^-13

• w¹³

Combined

Now let's put it all together

Multiple Choice

Write using only positive Exponents. SIMPLIFY

$$\frac{1}{\left(2\right)^{-2}}$$  

• -4

• $$\frac{1}{2^2}$$  

• $$2^2$$  

• 4

Multiple Choice

Simplify.

• y⁶⁰
• ¹/_y¹⁶
• y^-16
• y⁴

Multiple Choice

• x⁷y/2
• 2x⁷yz¹
• x³y⁵z¹

Multiple Choice

• -1/2a
• -a/2
• -3a⁷
• -3a

Multiple Choice

• 8a⁶b⁸
• 8a⁵b⁶
• 16a⁶b⁸
• 16a⁵b⁶

Multiple Choice

• a⁵c¹/b³
• a⁵/b³
• a⁹b⁹c

Multiple Choice

• x²⁰y⁶

• x¹⁴y¹²

• x²⁰y⁹

• x¹⁴y⁶

Multiple Choice

Simplify using the exponent rules

Multiple Choice

Apply the exponent rules

Multiple Choice

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

Multiple Choice

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