Respuesta:
1) x = 64
2) J = 119
3) A = 432
4) [tex]x^{15}[/tex]
Explicación paso a paso:
1) [tex]x=\frac{4^{8}4^{14}4^{16}}{4^{20}4^{15}}=\frac{4^{38}}{4^{35}}=4^{3}=64[/tex]
2) J = 11² + 5² + 2³ - 6² + [tex]1980^{0}[/tex] = 121 + 25 + 8 - 36 + 1 = 119
3) A = [tex]\frac{3^{20}}{3^{15}}+\frac{5^{5}. 5^{10}}{5^{12}}+\frac{8^{10}. 8^{30}}{8^{38}}[/tex]
A = [tex]3^{5}+5^{3}+8^{2}[/tex]
A = 243 + 125 + 64
A = 432
4) [tex]\frac{x^{20} x^{35} x^{15}}{x^{40} x^{15}}=\frac{x^{70}}{x^{55}}=x^{15}[/tex]
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Respuesta:
1) x = 64
2) J = 119
3) A = 432
4) [tex]x^{15}[/tex]
Explicación paso a paso:
1) [tex]x=\frac{4^{8}4^{14}4^{16}}{4^{20}4^{15}}=\frac{4^{38}}{4^{35}}=4^{3}=64[/tex]
2) J = 11² + 5² + 2³ - 6² + [tex]1980^{0}[/tex] = 121 + 25 + 8 - 36 + 1 = 119
3) A = [tex]\frac{3^{20}}{3^{15}}+\frac{5^{5}. 5^{10}}{5^{12}}+\frac{8^{10}. 8^{30}}{8^{38}}[/tex]
A = [tex]3^{5}+5^{3}+8^{2}[/tex]
A = 243 + 125 + 64
A = 432
4) [tex]\frac{x^{20} x^{35} x^{15}}{x^{40} x^{15}}=\frac{x^{70}}{x^{55}}=x^{15}[/tex]