Questions: Simplify. x^-7 cdot x^-9 Write your answer with a positive exponent only.

Simplify. x^-7 cdot x^-9 Write your answer with a positive exponent only.
Transcript text: Simplify. \[ x^{-7} \cdot x^{-9} \] Write your answer with a positive exponent only.
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Solution

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Solution Steps

Step 1: Apply the laws of exponents for multiplication and division
  • For multiplication: \(x^m \cdot x^n = x^{m+n}\)
  • For division: \(\dfrac{x^m}{x^n} = x^{m-n}\)
Step 2: Apply the power of a power rule
  • For exponentiation: \(\left(x^m ight)^n = x^{m \cdot n}\)
Step 3: Simplify the expression
  • After applying the rules, the simplified expression is: 1/x^16

Final Answer:

The simplified expression is \( 1/x^16 \) rounded to 0 decimal places.

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