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Q.

Using laws of exponents, simplify 2 20 ÷ 2 15 × 2 3 .


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a

2 5

b

2 8

c

2 10

d

2 13  

answer is B.

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Detailed Solution


Given data is ( 2 20 ÷ 2 15 )× 2 3 .
Solving bracket using a m ÷ a n = a m−n   .
2 20 ÷ 2 15 = 2 20−15 =2 5  
Now the expression is 2 5 × 2 3 .
Using a m × a n = a m+n ,
2 5 × 2 3 = 2 5+3 = 2 8
Hence, ( 2 20 ÷ 2 15 )× 2 3 is 2 8 .
Correct option is 2.
 
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