hopeworld844
hopeworld844 hopeworld844
  • 17-03-2020
  • Mathematics
contestada

what is equivalent to [tex](3^6)3[/tex]
A. 3^2
B 3^9
C 3^3
D 3^18
ILL GIVE ALL 20 POINTS

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carlosego
carlosego carlosego
  • 25-03-2020

For this case we must indicate an expression equivalent to:

[tex](3 ^ 6) ^ 3[/tex]

For properties of powers we have to:

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

So, the above expression can be rewritten as:

[tex](3 ^ 6) ^ 3 = 3^{6*3} = 3^{18}[/tex]

Thus, the resulting expression is: [tex]3^{ 18}[/tex]

Answer:

[tex]3^{ 18}[/tex]

Option D

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