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:

Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline1542\frac{1}{5^{42}}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Negative exponentsright chevron icon

Full solution

Q. Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline1542\frac{1}{5^{42}}
  1. Identify Base and Exponent: Identify the base and the exponent in the expression 5−425^{-42}. In this expression, 55 is the base and −42-42 is the exponent. Base: 55 Exponent: −42-42
  2. Apply Negative Exponent Rule: Apply the negative exponent rule to rewrite the expression with a positive exponent.\newlineThe negative exponent rule states that a−m=1ama^{-m} = \frac{1}{a^m} for any nonzero base aa and any integer mm.\newlineTherefore, 5−425^{-42} can be rewritten as 1542\frac{1}{5^{42}}.

More problems from Negative exponents

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

Posted 8 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 5 months ago

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

Posted 5 months ago

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

Posted 5 months ago

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

Posted 5 months ago

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

Posted 5 months ago

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

Posted 9 months ago

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

Posted 5 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 5 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 7 months ago

View all (96)

Related topics

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