Q.


270 as a product of prime factors in exponential form is

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a

2× 3 3 ×5

b

2× 3 2 × 5 2

c

2× 3 3 × 5 2

d

2 2 × 3 3 ×5  

answer is A.

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Detailed Solution

270 in terms of the product of prime factors is,
270=2×3×3×3×5 .
270 in exponential form,
Using a 1 × a 2 × a 3 × a 4 ......× a n = a n ,
3×3×3= 3 3
270=2× 3 3 ×5 .
Hence, 270 in terms of exponential form is 2× 3 3 ×5 .
Correct option is 1.
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270 as a product of prime factors in exponential form is