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.
failed

Solution

failed
failed

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.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x)=4 x^2+16 x+7 The vertex is . (Type an ordered pair.)
failedAnswered
A saltwater aquarium can be used to model the ocean. What is one limitation of this model? A. Its temperature can be varied. B. It is shallower than the ocean. C. It can show how certain fish swim in the ocean. D. It can show how light affirgets ocean plants.
failedAnswered
Evaluate the integral. (Remember to use absolute values where appropriate.) [ int0^6 frac4 t(t-7)^2 d t ]
failedAnswered
Construct the cumulative frequency distribution for the given data Age (years) of Best Actress when award was won Frequency 20-29 28 30-39 33 40-49 15 50-59 3 60-69 6 70-79 2 80-89 1
failedAnswered
56.000 kg - 36.000 kg = ?