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What is the Value of 4 Raised to the Fractional Exponent 3/2?

Answer – The value of 4 raised to the fractional exponent 32 is 8.

Explanation:

A fractional exponent, in simple words, is a number in the form of a fraction to which another number called the base is raised. It is an exponent involving both a power and a root of the base being expressed together. 

Any base x when raised to a fractional exponent mn is equal to the nᵗʰ root of x raised to the power m. This can be expressed in the form of an equation as follows:

xmn=xnm

So, if we have 2 in place of the denominator n, we take the square root of x. Similarly, if 3 is the denominator, then we take the cube root of x, and so on. We can now use this information to find the value of 432.

432 can be expressed as 43.

43 = 23 = 8

So, the value of 432 is found to be 8.


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