Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Select the equivalent expression.

(x^(-8))/(x^(6)*x^(-5))

x^(9)

x^(7)

(1)/(x^(9))

(1)/(x^(7))

Select the equivalent expression.\newlinex8x6x5 \frac{x^{-8}}{x^{6} \cdot x^{-5}} \newlinex9 x^{9} \newlinex7 x^{7} \newline1x9 \frac{1}{x^{9}} \newline1x7 \frac{1}{x^{7}}

Full solution

Q. Select the equivalent expression.\newlinex8x6x5 \frac{x^{-8}}{x^{6} \cdot x^{-5}} \newlinex9 x^{9} \newlinex7 x^{7} \newline1x9 \frac{1}{x^{9}} \newline1x7 \frac{1}{x^{7}}
  1. Simplify Exponents: Simplify the expression using the properties of exponents.\newlineWhen dividing powers with the same base, subtract the exponents.\newlinex8x6x5=x8/x65\frac{x^{-8}}{x^{6}\cdot x^{-5}} = x^{-8}/x^{6-5}
  2. Continue Simplifying: Continue simplifying the expression. x8/(x65)=x8/(x1)x^{-8}/(x^{6-5}) = x^{-8}/(x^{1})
  3. Subtract Exponents: Subtract the exponents. x8x1=x81=x9\frac{x^{-8}}{x^{1}} = x^{-8-1} = x^{-9}
  4. Check Answer Choices: Check the answer choices for the equivalent expression.\newlineThe correct equivalent expression is (1x9)(\frac{1}{x^{9}}).

More problems from Multiplication with rational exponents