If a, b, c, 0 and belong to the set to 0,1,2 , 3 , 9 , then ₁₀ ( a+10 b+10^2 c 10⁻⁴ a+10⁻³ b+10⁻² c ) is equal to

Step-by-step solution

aligned & ₁₀ ( a+10 b+10^2 c 10⁻⁴ a+10⁻³ b+10⁻² c ) & = ₁₀ ( a+10 b+10^2 c 1 10^4 (a+10 b+10^2 c ) )= ₁₀ 10^4=4 aligned