Question

if 1176 = 2 power of X into 3 power of 5 into 7 power of Z then X + Y + Z =

Answer 1

$1176 = {2}^{x} 3 {}^{y} 7 {}^{z} \\ take \: lcm \: of \: 1176 \\ 1176 = 2 \times 2 \times 2 \times 3 \times 7 \times 7 \\ = {2}^{3} \times {3}^{1} \times {7}^{2}$
compare
x=3
y=1
z=2
therefore x+y+z
=3+1+2=6
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Answer 2

6 is the answer of the given question