avarispiegel avarispiegel
  • 17-12-2020
  • Mathematics
contestada

Simplify the expression (3k^2)^3•k^3 pls explain steps

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indubitablydubious indubitablydubious
  • 17-12-2020
Let’s break it into parts:
(3k^2)^3 is equal to 3•3•3•(k•k)•(k•k)•(k•k), or:
(3^3)(k^6) = 27(k^6)
27(k^6)•k^3= 27k^9

[Summary: if there N exponent out side the parentheses of something, you multiply the exponent on the outside by the exponent on the inside,
Ex. (k^2)^3=k^(2•3)=k^6.
When multiplying two variables you add their exponents together.
Ex. k^(6)•k^(3)=k^(6+3)=k^(9)]

Answer: 27k^9
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