Question

Calcula el valor de las siguientes expresiones​

Answer 1

Respuesta:

Q = x¹⁴

S = x²⁰

R = a⁶

T = m²

Explicación paso a paso:

$\displaystyle Q = \frac{x^8\cdot x^9 \cdot x^2}{x^5} \\\\\\ Q = \frac{x^{8+9+2}}{x^5} \\\\\\ Q = \frac{x^{19}}{x^5} \\\\\\Q = x^{19-5} \\\\\\ Q = x^{14} //$

$\displaystyle S= \frac{x^{40}}{x^{12}\cdot x^{8}} \\\\\\ S = \frac{x^{40}}{x^{12+8}} \\\\\\ S = \frac{x^{40}}{x^{20}} \\\\\\ S = x^{40-20} \\\\\\ S = x^{20}//$

$\displaystyle R = \frac{a^9 \cdot a \cdot a^5}{a^7 \cdot a^2} \\\\\\ R = \frac{a^{9+1+5}}{a^{7+2}} \\\\\\ R = \frac{a^{15}}{a^{9}} \\\\\\ R = a^{15-9} \\\\\\ R = a^6//$

$\displaystyle T = \frac{m^{15} \cdot m^{-6} \cdot m^{-2}}{m^5} \\\\\\ T = \frac{m^{15-6-2}}{m^5} \\\\\\ T = \frac{m^7}{m^5} \\\\\\ T = m^{7-5}\\\\\\ T = m^2//$