Question

Me puedes ayudar porfís con explicación porfís ​

Answer 1

Explicación paso a paso:

M = (x²)³•(x^-2)^-3•(x^-2)³•x^-2³

= (x⁶)•(x⁶)•(x^-6)•(x^-6)

= x¹²(x^-12)

= x⁰

= 1

7² × 12³ × 6² × 10⁵ ×3

M = -------------------------------

15⁴ × 21² × 16² × 2³

(49)(1728)(36)(100,000)(3)

= ------------------------------------

(50625)(441)(256)(8)

(84672) (100,000) (108)

= ----------------------------------------

(22,325,625) (2,048)

(8,467,200,000) (108)

= ----------------------------------------

5,536,755,000

914,457,600,000

= -------------------------------

5,536,755,000

= 165.161

Answer 2

$m = {({x}^ {2})}^{3} .{ ( {x}^{ - 2} )}^{ - 3} .{ {x}^ {( - 2)}}^{3}. {{x}^{ - 2}}^{3} \\ m = {x}^{6} . {x}^{6} . {x}^{ - 8} . {x}^{ - 8} \\ m = {x}^{6 + 6 - 8 - 8} \\ m = {x}^{ - 4}$

$[/tex]</p><p>[tex]m = \frac{ {7}^{2} \times {( {2}^{2} \times 3) }^{3} \times {(2 \times 3)}^{2} \times {(2 \times 5)}^{5} \times 3 }{ {(3 \times 5)}^{4} \times{ (3 \times 7)}^{2} \times {( {2}^{4})}^{2} \times {2}^{3} } \\ m = \frac{{7}^{2} \times ({2}^{6} \times {3}^{3} ) \times ({2}^{2} \times {3}^{ 2} ) \times ({2}^{5} \times {5}^{5} ) \times 3}{( {3}^{4} \times {5}^{4}) \times ({3}^{2} \times {7}^{2}) \times {2}^{8} \times {2}^{3} } \\ m = \frac {{7}^{2} \times {5}^{5} \times {3}^{3 + 2 + 1} \times {2}^{6 + 2 + 5} }{ {7}^{2} \times {5}^{4} \times {3}^{4 + 2} \times {2}^{8 + 3} } \\ m = \frac{ {7}^{2} \times {5}^{5} \times {3}^{6} \times {2}^{13} }{ {7}^{2} \times {5}^{4} \times {3}^{6} \times {2}^{11} } \\ m = {7}^{2 - 2} \times {5}^{5 - 4} \times {3}^{6 - 6} \times {2}^{13 - 11} \\ m = {7}^{0} \times 5 \times {3}^{0} \times {2}^{2} \\ m = 1 \times 5 \times 1\times {2}^{2} \\ m = 20$