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

3 Answers
Apr 12, 2018

8

Explanation:

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

Apr 12, 2018

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.

Explanation:

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)

Apr 12, 2018

8

Explanation:

"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