melissasousa24 melissasousa24
  • 13-10-2021
  • Mathematics
contestada

(2/3)^3x(2/3)^4
write as a single power, then evaluate.

Respuesta :

jimrgrant1 jimrgrant1
  • 13-10-2021

Answer:

[tex]\frac{128}{2187}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex](\frac{2}{3}) ^{3}[/tex] × [tex](\frac{2}{3}) ^{4}[/tex]

= [tex](\frac{2}{3}) ^{(3+4)}[/tex]

= [tex](\frac{2}{3}) ^{7}[/tex]

= [tex]\frac{2^{7} }{3^{7} }[/tex]

= [tex]\frac{128}{2187}[/tex]

Answer Link
ujjwal51jain ujjwal51jain
  • 13-10-2021

Answer:

128/2187

Step-by-step explanation:

(2/3)^3*(2/3)^4

=(2/3)^3+4

=(2/3)^7

=2^7*3^7

=128/2187

Answer Link

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