Question
Simplify the expression. (Assume that $x, y, r, s,$ and $t$ are positive.)$$\sqrt[3]{27 r^{6}} \cdot \sqrt{s^{2} t^{4}}$$
Step 1
The cube root of a number is the same as raising that number to the 1/3 power, and the square root of a number is the same as raising that number to the 1/2 power. So, we can rewrite the expression as follows: $$(27 r^{6})^{1/3} \cdot (s^{2} t^{4})^{1/2}$$ Show more…
Show all steps
Your feedback will help us improve your experience
Tyler Moulton and 95 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. (Assume that $x, y, r, s,$ and $t$ are positive.) $$\sqrt{81 x^{6} y^{-4}}$$
Preliminaries
Precalculus Review I
Simplify the expression. (Assume that $x, y, r, s,$ and $t$ are positive.) $$\sqrt[3]{x^{-2}} \cdot \sqrt{4 x^{5}}$$
Simplify the expression. (Assume that $x, y, r, s,$ and $t$ are positive.) $$-\sqrt[4]{16 x^{4} y^{8}}$$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD