emilyramirez20 emilyramirez20
  • 13-09-2019
  • Mathematics
contestada

How is this written in an expanded version?

How is this written in an expanded version class=

Respuesta :

Аноним Аноним
  • 13-09-2019

Powers distribute over multiplications:

[tex](ab)^c = a^c\cdot b^c[/tex]

So, you have

[tex](3k^5)^2 = 3^2 \cdot (k^5)^2[/tex]

Now, [tex]3^2[/tex] is simply 9.

As for [tex](k^5)^2[/tex], we have to use the rule

[tex](a^b)^c = a^{bc}[/tex]

to get

[tex](k^5)^2=k^{5\cdot 2}=k^{10}[/tex]

So, the final answer is

[tex](3k^5)^2 =9k^{10}[/tex]

Answer Link
angellenado23 angellenado23
  • 13-09-2019

Answer:

225k

Step-by-step explanation:

3k * 5 = 15k * 15 = 225k

Answer Link

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