Question
Simplify each exponential expression. Assume that variables represent nonzero real numbers.$$\left(\frac{x^{6}}{x^{2}}\right)^{-3}$$
Step 1
Since they have the same base, we subtract the exponent of the denominator from the exponent of the numerator. This gives us $x^{6-2} = x^{4}$. So, the expression becomes $(x^{4})^{-3}$. Show more…
Show all steps
Your feedback will help us improve your experience
Brandon Fox and 90 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 each exponential expression. Assume that variables represent nonzero real numbers. $$\left(\frac{x^{2}}{2}\right)^{-3}$$
Exponents and Polynomials
Negative Exponents and Scientific Notation
Simplify each exponential expression. Assume that variables represent nonzero real numbers. $$\left(2 y^{3}\right)^{4} y^{-6}$$
Simplify each exponential expression. Assume that variables represent nonzero real numbers. $$\left(3 x^{-1}\right)^{-2}$$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD