Question

$(2^{5} * 2^{3} )^{3} * (2^{2})^{4}$

$(5^{3} * 5)^{2} * 5^{2} * 5^{4}$

Answer 1

Respuesta:

$2^{32} \\5^{14}$

Explicación paso a paso:

$(2^{5} * 2^{3} )^{3} * (2^{2})^{4} = (2^{5+3})^{3} * 2^{2*4} = (2^{8})^{3} * 2^{8} = 2^{8*3} * 2^{8} = 2^{24} * 2^{8} = 2^{24+8} = 2^{32}$

$(5^{3} * 5)^{2} * 5^{2} * 5^{4} = (5^{3+1})^{2} * 5^{2} * 5^{4} = (5^{4})^{2} * 5^{2} * 5^{4} = 5^{4 * 2} * 5^{2} * 5^{4} = 5^{8} * 5^{2} * 5^{4} = 5^{8+2+4} = 5^{14}$