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Lerok [7]
2 years ago
6

Simplify the expression. Write your answer using only positive exponents. Evaluate any numerical powers.

Mathematics
1 answer:
gtnhenbr [62]2 years ago
5 0

Answer:

  • 9x⁵

Step-by-step explanation:

<u>Use properties of exponents:</u>

  • <u />a^{b} a^{c} = a^{b+c}, (a^{b} ^)^{c} = a^{bc}, 1/a^{-b}  = a^{b}

<u>Simplify the given expression:</u>

  • 3⁴⋅x⋅(3/x²)⁻² =
  • 3⁴·x·(3x⁻²)⁻² =
  • 3⁴·x·(3⁻²)(x⁻²ˣ⁻²) =
  • 3⁴⁻²·x¹⁺4 =
  • 3²·x⁵ =
  • 9x⁵

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