Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
Answer:
To rewrite (100^{7/2}) in radical form, you can use the property of exponents that states: (a^{m/n} = \sqrt[n]{a^m}).
So, (100^{7/2}) can be rewritten as: 1007
This is the radical form of (100^{7/2}).
Step-by-step explanation:
Let’s break down the process of rewriting (100^{7/2}) in radical form step by step:
1. Understand the Exponent Rule:
The expression: (a^{m/n})
can be rewritten as: (\sqrt[n]{a^m}).
This means that the exponent (m/n) indicates a radical
(root) form.
2. Identify the Base and Exponents:
In (100^{7/2}): the base is 100,
the numerator of the exponent is 7; and
the denominator is 2.
3. Apply the Exponent Rule:
Using the rule (a^{m/n} = \sqrt[n]{a^m}), rewrite
(100^{7/2}) as:
[ 100^{7/2} = \sqrt[2]{100^7} ]
4. Simplify the Radical:
The square root (denoted by (\sqrt{})) is the same
as the 2nd root, so we can simplify the expression to:
[ \sqrt{100^7} ] , So
100^{7/2}) in radical form is (\sqrt{100^7}).
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.