Question

Express each of the following as a product of prime factors in the exponential form:
(1)108×192
(2)729×64
(3)384×147


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Answer 1

Step-by-step explanation:

Factorise the number first

Answer 2

Answer:

Product of prime factors in the exponential form are 1) $2^{8}$ x $3^{4}$  2) $3^{6}$ x $2^{6}$

3)  $2^{7}$ x 3² x 7²

Step-by-step explanation:

Given : (1) 108×192,  (2) 729×64, (3) 384×147 to write product of prime factors

            in the exponential form

Solution : The nos can be written as factors of prime numbers as below

(1) 108×192 = 2x2x3x3x3 x 2x2x2x2x2x2x3

                  = $2^{8}$ x $3^{4}$

(2) 729×64 = 3x3x3x3x3x3 x 2x2x2x2x2x2

                  = $3^{6}$ x $2^{6}$

(3) 384×147 = 2x2x2x2x2x2x2x3 x 3x7x7

                  = $2^{7}$ x 3² x 7²