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Q2_Quiz 2: Radicals

Total questions: 20

Worksheet time: 40mins

Name
Class
Date
1.
√96
a)
4√6
b)
3√6
c)
6√5
d)
6√8
2.
√500x8y2
a)
10x⁴y√5
b)
10x⁴y²√5
c)
50x⁴y
d)
100x⁴y√5
3.

The expression such as 1614\sqrt[14]{16}  is called as ......

a)

Radical

b)

Radicand

c)

Square root of

d)

Radical Sign

4.

In  3\sqrt{3} ,  3 is called ......... 

a)

Radical

b)

Radicand

c)

Exponent

d)

Index

5.

 64\sqrt[4]{6}  can be read as ....... 

a)

Sixth power of four

b)

Fourth power of six

c)

Fourth root of six

d)

Sixth root of four

6.

 164\sqrt[4]{16}  is equal to 

a)

2

b)

3

c)

4

d)

8

7.
a)

w−3

b)

w3

c)

w2

d)

w−13

8.

We do not have to write the index if it is

a)

2

b)

1

c)

3

d)

0

9.

Review: anything to the zero power  x0 x^{0\ }  is

a)

that number

b)

0

c)

impossible to tell

d)

1

10.

Review xax^{-a}  

a)

impossible because you need to know what x is AND an exponent can not be negative

b)

mpossible because an exponent cannot be negative

c)

 1xa\frac{1}{x^a}  

d)

 ax\frac{a}{x}  

11.

Exponent Rules: Product Rule

 axay=a^x\cdot a^y=  

a)

 axya^{x\cdot y}  

b)

 ax+ya^{x+y}  

c)

 ax+aya^x+a^y  

12.

Exponent Rules: Quotient Rule

 axay=\frac{a^x}{a^y}=  

a)

 axya^{x-y}  

b)

 axya^{\frac{x}{y}}  

c)

 ax+ya^{x+y}  

13.

Exponent Rules: Power of a Power Rule

 axy or (ax)y =a^{x^y}\ or\ \left(a^x\right)^y\ =  

a)

 ax+ya^{x+y}  

b)

 axya^{x\cdot y}  

c)

 axaya^xa^y  

14.

Exponent Rules: Power of a Product

 (ab)x=\left(ab\right)^x=  

a)

 ax+bxa^x+b^x  

b)

 abxa^{bx}  

c)

 axbxa^xb^x  

15.

Exponent Rules: Negative Exponent

 ax=a^{-x}=  

a)

 ax-a^{-x}  

b)

 ax-a^x  

c)

 1ax\frac{1}{a^x}  

d)

 1ax-\frac{1}{a^x}  

16.

Exponent Rules: RATIONAL EXPONENT

 axy=a^{\frac{x}{y}}=  

a)

  yax\ ^y\sqrt{a^x}  

b)

 axaya^x-a^y  

c)

 axay\frac{a^x}{a^y}  

17.

Simplify the following:
 (x3y)2\left(x^3y\right)^2  

a)

 x5y2x^5y^2  

b)

 x6y2x^6y^2  

c)

 x1y1x^1y^{-1}  

d)

 2x3y2x^3y  

18.

Simplify the following:

 2x3x82\cdot x^{-3}\cdot x^8  


a)

 2x52x^5  

b)

 2x242x^{-24}  

c)

 18x5\frac{1}{8}x^5  

19.

Simplify: 8238^{\frac{2}{3}}  


a)

4

b)

2

c)

8

d)

 163\frac{16}{3}  

20.

Simplify:

 (8x9)23\left(8x^9\right)^{-\frac{2}{3}}  

a)

 14x6\frac{1}{4x^6}  

b)

 4x6-4x^6  

c)

 4x64x^{-6}