Question

O valor da expressão ($2^{p}$ . $3^{m+1}$ . $5^{n+3}$) . ($2^{p-1}$ . $3^{m}$ . $5^{n+1}$)ˆ-1 é:
a) 150
b) 300
c) $10^{m+n+p}$
d) $3^{m}$ . $5^{n}$
e) zero

Answer 1

$(2^{p} . 3^{m+1} . 5^{n+3} ) . ( 2^{p-1} . 3^{m} . 5^{n+1} )^{-1} = \\ \\ (2^{p} . 3^{m+1} . 5^{n+3} ) . ( 2^{-p+1} . 3^{-m} . 5^{-n-1} ) = \\ \\ 2^{p-p+1}*3^{m+1-m}*5^{n+3-n-1} = 2*3*5^2 = 6*25 = 150$

Resposta: letra a) 150