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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}).