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Quiz Law of Exponents

Total questions: 10

Worksheet time: 11mins

Name
Class
Date
1.

What rule do would you use if two similar bases were multiplied when they have exponents?

Example:  x2 x3=x5x^{2\ }\cdot x^3=x^5  

a)

Product Rule - Add the Exponents, but keep the same base

b)

Quotient Rule - Subtract the Exponents, but keep the same base

c)

Zero Exponent Rule

d)

Negative Exponent Rule

2.

What rule should you use if similar bases are being divided by each other and they have exponents?

Example: x3x2=x1\frac{x^3}{x^2}=x^1  


a)

Zero Product Rule - Multiply Zeros

b)

Quotient Rule - Subtract the exponents and keep the same base

c)

Divide 3 by 2

d)

Product Rule - Multiple exponents and change the base

3.

Whenever there is a Zero in the exponent, the answer is always...


*This is the Zero Exponent Rule*

a)

One

b)

Five

c)

x

d)

Zero

4.

x3x7=?x^3\cdot x^7=?  

Use the Product Rule to simplify this expression: *Use Notes*




a)

x10x^{10}  

b)

x4x^4  

c)

x4x^{-4}  

d)

x21x^{21}  

5.

c3c1=?\frac{c^3}{c^1}=?  



Use the Quotient Rule to simplify this expression:

a)

c2c^2  

b)

c2c^2  

c)

c15c^{15}  

6.

w2=?w^{-2}=?  

a)

w4w^4  

b)

w2w^2  

c)

1w2\frac{1}{w^2}  

d)

w

7.

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

a)

add

b)

subtract

c)

multiply

d)

divide

8.
a)
a7
b)
a10
c)
a3
d)
a-3
9.
(X2Y4) (X5Y12)
a)
X7Y16
b)
X10Y48
c)
X-3Y-8
10.
(2x4y5)3
a)
4x12y15
b)
4x7y8
c)
8x12y15