Question

calcula el valor de A=18³. 12⁶/ 81. 32.36⁴​

Answer 1

Respuesta:

$A=\frac{18^{2}. 12^{6} }{81.32.36^{4} } \\A=\frac{(3^{2}.2 ) ^{3}.(2^{2}.3 )^{6} }{3^{4}.2^{5}.(2^{2}. 3^{2} )^{4} } \\A=\frac{3^{6}.2^{3}.2^{12}.3^{6}}{3^{4}.2^{5}.2^{8}. 3^{8}} \\A=\frac{3^{6+6} .2^{12+3} }{3^{4+8} .2^{5+8} } \\A=\frac{3^{12} .2^{15} }{3^{12} .2^{13} }\\A=3^{12-12} .2^{15-13}\\A=3^{0} .2^{2} \\A=4$