Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Rewrite 100 7/2 in radical form

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}).

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.