Scroll:Exponents >> Exponents with decimal and fractional bases >> saq (4064)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.


 

1)  

 Evaluate.

(5.4)3 =



Answer:_______________




2)  

 Evaluate.

(1.4)2 =



Answer:_______________




3)  

 Evaluate. Write your answer as a fraction or whole number. (ple use / )

(12) 2 =



Answer:_______________




4)  

 Evaluate.

(3.8)3 =



Answer:_______________




5)  

 Evaluate.

(4.3)2 =



Answer:_______________




6)  

 Evaluate. Write your answer as a fraction or whole number. (ple use / )

(14) 2 =



Answer:_______________




7)  

 Evaluate.

(0.5)3 =



Answer:_______________




8)  

 Evaluate.

(5.7)2 =



Answer:_______________




9)  

 Evaluate. Write your answer as a fraction or whole number. (ple use / )

(13) 2 =



Answer:_______________




10)  

 Evaluate.

(2.7)3 =



Answer:_______________




 

1)  

 Evaluate.

(5.4)3 = Answer: 157.464


SOLUTION 1 :

Solve:

The base is 5.4 and the exponent is 3. Use 5.4 as a factor 3 times.

(5.4)3 = 5.4 × 5.4 x 5.4

       = 157.464
 



2)  

 Evaluate.

(1.4)2 = Answer: 1.96


SOLUTION 1 :

Solve:

The base is 1.4 and the exponent is 2. Use 1.4 as a factor 2 times.

(1.4)2 = 1.4 × 1.4 

       = 1.96
 



3)  

 Evaluate. Write your answer as a fraction or whole number. (ple use / )

(12) 2 = Answer: 14


SOLUTION 1 :

Solve:

The exponent tells you how many times to use the base as a factor.

 
( 
1
2
 ) 
2
 
 = 
 
1
2
 × 
 
1
2
 
   = 
 
1
2 × 2
 
   = 
 
1
4


4)  

 Evaluate.

(3.8)3 = Answer: 54.872


SOLUTION 1 :

Solve:

The base is 3.8 and the exponent is 3. Use 3.8 as a factor 3 times.

(3.8)3 = 3.8 × 3.8 x 3.8

       = 54.872
 



5)  

 Evaluate.

(4.3)2 = Answer: 18.49


SOLUTION 1 :

Solve:

The base is 4.3 and the exponent is 2. Use 4.3 as a factor 2 times.

(4.3)2 = 4.3 × 4.3 

       = 18.49
 



6)  

 Evaluate. Write your answer as a fraction or whole number. (ple use / )

(14) 2 = Answer: 116


SOLUTION 1 :

Solve:

The exponent tells you how many times to use the base as a factor.

 
( 
1
4
 ) 
2
 
 = 
 
1
4
 × 
 
1
4
 
   = 
 
1
4 × 4
 
   = 
 
1
16


7)  

 Evaluate.

(0.5)3 = Answer: 0.125


SOLUTION 1 :

Solve:

The base is 0.5 and the exponent is 3. Use 0.5 as a factor 3 times.

(0.5)3 = 0.5 × 0.5 x 0.5

       = 0.125
 



8)  

 Evaluate.

(5.7)2 = Answer: 32.49


SOLUTION 1 :

Solve:

The base is 5.7 and the exponent is 2. Use 5.7 as a factor 2 times.

(5.7)2 = 5.7 × 5.7 

       = 32.49
 



9)  

 Evaluate. Write your answer as a fraction or whole number. (ple use / )

(13) 2 = Answer: 19


SOLUTION 1 :

Solve:

The exponent tells you how many times to use the base as a factor.

 
( 
1
3
 ) 
2
 
 = 
 
1
3
 × 
 
1
3
 
   = 
 
1
3 × 3
 
   = 
 
1
9


10)  

 Evaluate.

(2.7)3 = Answer: 19.683


SOLUTION 1 :

Solve:

The base is 2.7 and the exponent is 3. Use 2.7 as a factor 3 times.

(2.7)3 = 2.7 × 2.7 x 2.7

       = 19.683