Question

if A=(3^4×5^3) and B=(3^2×5^2) then HCF (a,b)=?​

Answer 1

A=3⁴×5³

B=3²×5²

in HCF we take smallest power of common factors

HCF(a, b) =3²×5²

=15²

=225

Answer 2

Answer:

$a \: = {3}^{4} \times {5}^{3} =3 \times 3 \times 3 \times 3 \times 5 \times 5 \times 5 \\ b = {3}^{2} \times {5}^{2} = 3 \times 3 \times 5 \times 5 \\ hcf_{(a \: and \: b)} = common \: factors \: of \: a \: and \: b \\ hcf_{(a \: and \: b)} = 3 \times 3 \times 5 \times 5 = {3}^{2} {5}^{2} \: or \: 9 \times 25 = 225$

Step-by-step explanation:

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