Question
Use the properties of exponents to simplify each expression. Write with positive exponents. $$\left(4 u^{2}\right)^{3 / 2}$$
Step 1
So, we multiply the exponents inside the parentheses by the exponent outside the parentheses. $$ \left(4 u^{2}\right)^{3 / 2} = 4^{3/2} \cdot u^{2 \cdot 3/2} $$ Show more…
Show all steps
Your feedback will help us improve your experience
Amy Jiang 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
Use the properties of exponents to simplify each expression. Write with positive exponents. $$ \frac{a^{1 / 4} a^{-1 / 2}}{a^{2 / 3}} $$
Rational Exponents, Radicals, and Complex Numbers
Rational Exponents
Use the properties of exponents to simplify each expression. Write with positive exponents. $$ \frac{\left(a^{-2} b^{3}\right)^{1 / 8}}{\left(a^{-3} b\right)^{-1 / 4}} $$
Use the properties of exponents to simplify each expression. Write with positive exponents. $$ 3^{1 / 4} \cdot 3^{3 / 8} $$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD