Which of the following is equivalent to (5)^7/3

The answer is [tex] \sqrt[3]{ 5^{7} } [/tex]

The reason we get this answer is because when you are converting from exponential form, to radical form you always place the numerator as our constant's exponent in the radical ( [tex] 5^{7} [/tex] is called the radicand because it is located in the radical) and the denominator in front of the radical, where it would be called the index.

Here's what a formula would look like: [tex]( \sqrt[n]{x} ) ^{q}=x^{ \frac{p}{q} } [/tex]

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adioabiola adioabiola · Answer 2 · 2022-01-31T17:42:48+01:00

adioabiola adioabiola

31-01-2022

The expression which is equivalent to (5)^7/3 is; ³√5⁷

Equivalent indices expressions

The given expression has an exponent of (7/3)

According to the law of indices;

This means the base number is raised to a power of the exponent numerator and evaluated to the root of the exponent denominator.

Hence, we can conclude that (5)^7/3 is equivalent to; ³√5⁷