Question

If a is equal to ( 2 to the power two * 3 to the power three* 5 to the power four ) and b is equal to ( 2 to the power three * 3 to the power two * 5), then hcf ( a, b)

Answer 1

Step-by-step explanation:

$a \: = 2 ^{2} \times 3 ^3 \times 5 ^4 \\ b \: = 2 ^3 \times 3 ^{2} \times 5 \\ hcf \:(a \: \: b) = 2 ^{2} \times 3 ^{2} \times 5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4 \times 9 \times 5 = 180$