RESPUESTA:
[tex]\left(2^4\times 3^2\times 5^3\right)^3[/tex]
[tex]\mathrm{Aplicar\:las\:leyes\:de\:los\:exponentes}:\quad \left(a\times \:b\right)^n=a^nb^n[/tex]
[tex]\left(2^4\times \:3^2\times \:5^3\right)^3=\left(2^4\right)^3\times \left(3^2\right)^3\times \left(5^3\right)^3[/tex]
[tex]=\left(2^4\right)^3\times \left(3^2\right)^3\times \left(5^3\right)^3[/tex]
[tex]=4096\times \left(3^2\right)^3\times \left(5^3\right)^3[/tex]
[tex]=4096\times \:729\times \left(5^3\right)^3[/tex]
[tex]\mathrm{Aplicar\:las\:leyes\:de\:los\:exponentes}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0[/tex]
[tex]\left(5^3\right)^3=5^{3\times \:3}[/tex]
[tex]=4096\times \:729\times \:5^{3\times \:3}[/tex]
[tex]5^9=1953125[/tex]
[tex]=4096\times \:729\times \:1953125[/tex]
[tex]=5832000000000[/tex]
[tex]RPTA=5832000000000[/tex]
【ツ】亗 CORONA 亗
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
Verified answer
RESPUESTA:
[tex]\left(2^4\times 3^2\times 5^3\right)^3[/tex]
[tex]\mathrm{Aplicar\:las\:leyes\:de\:los\:exponentes}:\quad \left(a\times \:b\right)^n=a^nb^n[/tex]
[tex]\left(2^4\times \:3^2\times \:5^3\right)^3=\left(2^4\right)^3\times \left(3^2\right)^3\times \left(5^3\right)^3[/tex]
[tex]=\left(2^4\right)^3\times \left(3^2\right)^3\times \left(5^3\right)^3[/tex]
[tex]=4096\times \left(3^2\right)^3\times \left(5^3\right)^3[/tex]
[tex]=4096\times \:729\times \left(5^3\right)^3[/tex]
[tex]\mathrm{Aplicar\:las\:leyes\:de\:los\:exponentes}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0[/tex]
[tex]\left(5^3\right)^3=5^{3\times \:3}[/tex]
[tex]=4096\times \:729\times \:5^{3\times \:3}[/tex]
[tex]5^9=1953125[/tex]
[tex]=4096\times \:729\times \:1953125[/tex]
[tex]=5832000000000[/tex]
[tex]RPTA=5832000000000[/tex]
【ツ】亗 CORONA 亗