Math, asked by majumdaravik06Avik, 1 year ago

please answer the question​ 4 asap

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Answers

Answered by mindSC
1

Answer:

559872

 {2}^{8}    \times  {3}^{7}

Step-by-step explanation:

a =  {2}^{ 3}  \times  {3}^{5}  \\ b =  {3}^{2}  \times  {2}^{5}

thus,

a = 2 \times 2 \times 2  \times 3 \times 3 \times 3 \times 3 \times 3

b = 3 \times 3 \times 2 \times 2 \times 2 \times 2 \times 2

HCF

= 2 ×2×2×3×3

= 72

LCM

 = 2  \times 2 \times 2 \times 3 \times 3 \times 2 \times 2 \times 3 \times 3 \times 3 \\  =  {2}^{3}  \times  {3}^{2}  \times  {3}^{3}  \times  {2}^{2}  \\  = 77776

Thus,

HCF × LCM

 = 72 \times 77776 \\  = 559872

b

 ({2}^{3}  \times  {3}^{5} )\times ( {3}^{2}  \times  {2}^{5} ) \\  = 559872

hope you've found it informative !!!

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