The power of 4 is 3 over 2? Please give a answer

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Answer 1 · 2018-04-12T10:13:49

8

#4^(3/2)# is the same as #sqrt(4^3) #

but #4^3 =color(white)("d") 4xx4xx4 color(white)("d")= color(white)("ddd")4^2xx4color(white)("ddd") =color(white)("ddd") 4^2xx2^2# giving:

#sqrt(4^2xx2^2) = 4xx2=8#

Answer 2 · 2018-04-12T10:15:21

Let's solve it:

#4^(3/2) = 4^(3 * 1/2)# [ Since #3/2 = 3 * 1/2# ]

#4^(3 * 1/2) = sqrt(4^3)# (because #sqrt(x) = x^(1/2)# )

#sqrt(64)# (because #4^3 = 4*4*4 = 64#)

#sqrt(8^2)# (because #8*8 = 64#)

#8# answer.

Square root (# sqrt(x) #) is just another way of writing # x^(1/2) #
Cube (#root(3)(x)#) is just another way of writing # x^(1/3) #

Answer 3 · 2018-04-12T11:04:37

#8#

#"assuming you mean "4^(3/2)#

#"using the "color(blue)"law of exponents"#

#•color(white)(x)a^(m/n)=(root(n)a)^m#

#rArr4^(3/2)=(root(2)4)^3=2^3=8#