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(h3)−7(h^3)^{-7}

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(h3)−7(h^3)^{-7}
  1. Understand Exponent Rule: Understand the exponent rule for powers raised to powers.\newlineWhen you have a power raised to another power, you multiply the exponents. The expression (h3)−7(h^3)^{-7} means that h3h^3 is raised to the power of −7-7.
  2. Apply Rule to Expression: Apply the exponent rule to the expression.\newline(h3)−7=h(3×−7)(h^3)^{-7} = h^{(3 \times -7)}\newlineNow, multiply the exponents 33 and −7-7.
  3. Perform Exponent Multiplication: Perform the multiplication of the exponents.\newlineh3×−7=h−21h^{3 \times -7} = h^{-21}\newlineThis simplifies the expression to a single power of hh with an exponent of −21-21.

More problems from Simplify exponential expressions using exponent rules

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

Posted 1 year ago

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

Posted 10 months ago

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

Posted 10 months ago

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

Posted 10 months ago

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

Posted 10 months ago

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

Posted 10 months ago

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

Posted 1 year ago

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

Posted 10 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 10 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 1 year ago

View all (196)

Related topics

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