Question

Use the properties of exponents to explain why \(64^{\frac{1}{2}}\) is called the \(\sqrt{64}\).

Answer 1

@Data_LG2

Answer 2

i know how it is, but i am stuck on how to explain

Answer 3

\(x^{\frac{1}{2}}\) = \(\sqrt{x}\)

Answer 4

see I have this so far

Looking at the rational exponent property, if you have a number (x) with an exponent of a fraction (1/2 for example), you are able to change it to a radical, and with the denominator being 2 and the numerator being 1, x^(1/2) = sqrt(x), and the same goes for 64^(1/2).

i feel like i need to explain it better

Answer 5

@SolomonZelman @texaschic101 @hartnn

Answer 6

@Luigi0210 @pooja195 @Nnesha

Answer 7

example can be \[\huge\rm \sqrt[n]{x^m} = x^\frac{ m}{ n }\]

Answer 8

yeah i know

Answer 9

i just have no clue how to explain it right