Question

SECTION B

Q.I] Answer the following:  

1. Write the reciprocal of the exponential form of the given numbers:

i) −827    ii) 1196                 [2]


2. Arrange the numbers 512 × 102; 0.478 × 106; 0.0049 × 107 in decreasing order.      [2]


3. If x = {(-11)5}4, and y = {(-11)2}3, find the value of x3 ÷ y3.         [3]


SECTION C


Q.II] Answer the following:  

4. When x = 2 and y = -1, evaluate the following:            [4]

i) 5x+y + 3y

ii) (1523)x+3y  


5. Using the laws of exponents, simplify the following:

[(1113)18÷{(1113)16 × (1311)-2}] × (1113)2              [4]      


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Answer 1

Answer:

solve no. 2 =

512×102= 52,224

0.478×106=50.668

0.0049×107=0.5243

then arrange it into decreasing order

52,224> 50.668> 0.5243

Step-by-step explanation:

solve no.4=

i) 5x +y +3y = 10+(-1)+(-3) = 10-1-3 = 9-3 = 6

ii)(1523)x +3y = 3046+(-3) = 3046-3 = 3043

solve no. 5 =

[(1113)18÷{(1113)16×(1311)-2}]×(1113)2

[(1113)18÷(17,808)×(1309)]×(1113)2

[(1113)18÷ (23310672)]×(1113)2

[(20034)÷(23310672)]×(1113)2

[(1,163.55556)]×(2226)

2590074.67