Question

Se 100²x.1000³x=100^4, então o valor de x é

Answer 1

${100}^{2} x \times {1000}^{3} x = {100}^{4} \\ {({10}^{2})}^{2} x \times {({10}^{3})}^{3} x = {({10}^{2})}^{4} \\ {10}^{4} x \times {10}^{9} x = {10}^{8} \\ {10}^{13} {x}^{2} = {10}^{8} \\ {x}^{2} = \frac{ {10}^{8} }{ {10}^{13} } \\ {x}^{2} = {10}^{ - 5} \\ x = \sqrt{ {10}^{ - 5} } \\ x = {10}^{ - 2} \sqrt{ {10}^{ - 1} }$