Question
Write the radical in exponential form. sqrt{{a}^{9}}
Ask by Sullivan Chavez.
Mar 08,2025 01:08
UpStudy AI Solution
Tutor-Verified Answer
Answer
The radical \( \sqrt{a^9} \) in exponential form is \( a^{\frac{9}{2}} \).
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Unlock Answered by UpStudy AI and reviewed by a Professional Tutor
Like
The Deep Dive
The expression \(\sqrt{\mathrm{a}^{9}}\) can be rewritten in exponential form using the property of radicals. A square root can be expressed as raising to the power of \(\frac{1}{2}\). Thus, we have:
\[
\sqrt{\mathrm{a}^{9}} = \mathrm{a}^{9 \cdot \frac{1}{2}} = \mathrm{a}^{\frac{9}{2}}.
\]
Related Questions
For f(x)=7x+8 and g(x)=x^{2}, find the following composite functions and state the domain of each. (a) f circ g (b) g circ f (c) f circ f (d) g circ g (a) (f circ g)(x)=7 x^{2}+8 (Simplify your answer.) Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The domain of f circ g is {x}. (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to) B. The domain of f circ g is all real numbers. (b) (g circ f)(x)= (Simplify your answer.)
Algebra
Mar 24, 2025
