Simplify the expression completely: \frac{x^8}{x^{10}}\newline with positive exponent = \frac{1}{x^2}\newline with negative exponent =
Added by Melissa K.
Close
Step 1
Step 1: Simplify the expression using the rule $\frac{x^m}{x^n} = x^{m-n}$ $\frac{x^8}{x^{10}} = x^{8-10} = x^{-2}$ Show moreā¦
Show all steps
Your feedback will help us improve your experience
Julie Silva and 74 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Simplify the expression and write it with rational exponents. Assume that all variables are positive. $$ \left(\frac{1}{x^{8}}\right)^{-1 / 4} $$
Basic Concepts from Algebra and Geometry
Radical Notation and Rational Exponents
Simplify the expression. The simplified expression should have no negative exponents. $$ x^{5} \cdot \frac{1}{x^{8}} $$
Exponents and Exponential Functions
Division Properties of Exponents
Write each expression with positive exponents only. Then simplify, if possible. $$\frac{1}{8 x^{-6}}$$
Exponents and Polynomials
Negative Exponents and Scientific Notation
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
600,000+
Students learning Algebra with Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD