Question

3. Express the following as product of primes and then express in exponential form:

(ii) 2197 (iii) 3125 (iv) 343
(v) 10000
(vii) 1024 (viii) 432

Answer 1

$2187 = 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \\ \: \: \: \: \: \: = {3}^{7} \\ 3125 = 5 \times 5 \times 5 \times 5 \times 5 \\ \: \: \: \: \: \: = {5}^{5} \\ 343 = 7 \times 7 \times 7 \\ \: \: \: \: \: = {7}^{3} \\ 10000 = 10 \times 10 \times 10 \times 10 \\ \: \: \: \: \: \: \: \: \: = {10}^{4} \\ 1024 = 4 \times 4 \times 4 \times 4 \times 4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {4}^{5}$

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