SpellnBChanp
SpellnBChanp SpellnBChanp
  • 09-04-2020
  • Mathematics
contestada

What is the value of the expression??

What is the value of the expression class=

Respuesta :

jimrgrant1 jimrgrant1
  • 09-04-2020

Answer:

8

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] for m > n

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]\frac{1}{a^{(n-m)} }[/tex] for n > m

Simplifying the expression inside the parenthesis

[tex]\frac{6^73^3}{6^63^4}[/tex]

= [tex]\frac{6^{(7-6)} }{3^{(4-3)} }[/tex]

= [tex]\frac{6}{3}[/tex] = 2

Thus

[tex](2)^{3}[/tex] = 8

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