$132300 = 2^{2} {.3}^{3} {.5}^{2} . a^{b}$

Which of the following is always true ?

a = 2b

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a+b = 8

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LCM of a and b is 14

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a = b

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Solution

The correct option is C
LCM of a and b is 14

After you expand 132300, it can be written as $2^{2} {.3}^{3} {.5}^{2} {.7}^{2}$ .

So a = 7, and b = 2.

The LCM of 7 and 2 comes out to be 14.

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Similar questions

If $132300 = 2^{2} \times 3^{3} \times 5^{2} \times a^{b},$ then which of the following is true ?

Question 21

Which of the following is not true?
(a) $3^{2} > 2^{3}$
(b) $4^{3} = 2^{6}$
(c) $3^{3} = 9$
(d) $2^{5} > 5^{2}$

x = 2^{3} \times 3 \times 5^{2}, y = 2^{2} \times 3^{3},

H C F (x, y)

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