Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. Express your answer using a single exponent.\newline(x−7)−8(x^{-7})^{-8}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Simplify exponential expressions using exponent rulesright chevron icon

Full solution

Q. Simplify. Express your answer using a single exponent.\newline(x−7)−8(x^{-7})^{-8}
  1. Identify Operation: Identify the operation needed for the exponents.\newlineWhen raising a power to a power, we multiply the exponents.
  2. Apply Exponent Rule: Apply the exponent rule. (x−7)−8=x(−7⋅−8)(x^{-7})^{-8} = x^{(-7 \cdot -8)}
  3. Perform Multiplication: Perform the multiplication of the exponents. \newline−7×−8=56-7 \times -8 = 56
  4. Write Final Answer: Write the final answer using a single exponent.\newlinex(−7⋅−8)=x56x^{(-7 \cdot -8)} = x^{56}

More problems from Simplify exponential expressions using exponent rules

Question
Evaluate.\newline22=2^2 = _____
Get tutor helpright-arrow

Posted 10 months ago

Question
Evaluate. Write your answer as a fraction or whole number.\newline(14)4(\frac{1}{4})^4 = _____
Get tutor helpright-arrow

Posted 6 months ago

Question
Which is equal to 9−619^{-61}?
Get tutor helpright-arrow

Posted 6 months ago

Question
Simplify. \newlineExpress your answer using positive exponents.\newline r5⋅r8r^5 \cdot r^8
Get tutor helpright-arrow

Posted 6 months ago

Question
Simplify. Express your answer using a single exponent.\newline(h2)6(h^2)^6\newline______
Get tutor helpright-arrow

Posted 6 months ago

Question
Simplify. Express your answer using positive exponents.\newline(9p5)(5p8)(9p^5)(5p^8)\newline_____________
Get tutor helpright-arrow

Posted 6 months ago

Question
Simplify. Express your answer using positive exponents.\newline(2v3)(4v)(5v)(2v^3)(4v)(5v)\newline______
Get tutor helpright-arrow

Posted 10 months ago

Question
Simplify. Express your answer using a single exponent.\newline(5z8)2(5z^8)^2\newline_____________
Get tutor helpright-arrow

Posted 6 months ago

Question
Simplify. Express your answer using positive exponents.\newliner9⋅r8⋅r-5 r^9 \cdot r^8 \cdot r^{\text{-}5} \newline______
Get tutor helpright-arrow

Posted 6 months ago

Question
Which expression is equivalent to 6×686 \times 6^8?\newlineChoices:\newline169\frac{1}{6^9}\newline686^8\newline168\frac{1}{6^8}\newline696^9
Get tutor helpright-arrow

Posted 9 months ago

View all (196)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant