Question

: EXAMPLE 5 Express the following numbers as a product of powers of prime factors:
(i) 72 (ii) 432 (iii) 1000 (iv) 16000
full solution

Answer 1

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$(1) \: \sf \small{72 = 2 \times 2 \times 2 \times 3 \times 3}$

$\dashrightarrow\: \sf \small{ {2}^{3} \times {3}^{2} }$

$(2) \: \sf \small{432 = 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3 }$

$\dashrightarrow\: \sf \small{ {2}^{4} \times {3}^{3} }$

$(3) \: \sf \small{1000= 2 \times 2 \times 2 \times 5\times 5 \times 5 }$

$\dashrightarrow\: \sf \small{ {2}^{3} \times {5}^{3} }$

$(4) \: \sf \small{16000= _{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 5\times 5 \times 5} }$

$\dashrightarrow\: \sf \small{ {2}^{7} \times {5}^{3} }$

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