Let m be a positive integer and the m power of 4 * 8 * 16 = the 8th power of 4

Let m be a positive integer and the m power of 4 * 8 * 16 = the 8th power of 4

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(XY)^2N
=[(XY)^N]^2
=[(X^N)(Y^N)]^2
=(5x3)^2
=15^2
=225

Given the nth power of x = 5 and the nth power of y = 3, find the value of (XY) to the nth power

The nth power of (XY)
=The nth power of X × the nth power of Y
=5×3
=15

If n = 2 for X and 3 for y, then (XY) is 3N=

(XY) = (x ^ n * y ^ n) ^ 3 = (2 * 3) ^ 3 = 6 ^ 3 = 216

Given xn = 5, yn = 3, find the value of (XY) 3N______

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The 3N power of (XY)
=(x^ny^n)^3
=(2*3)^3
=216

The second power of the first (the power of 3N of XY) and the nth power of (the sixth power of XY)

Is it (xy3n) 2 + (XY6) n
It should be the square of x times the 6N power of Y + the n power of x times the 6N power of Y
The distribution rate is reduced to multiplication
(the square of X + the nth power of x) the 6N power of Y

Given the nth power of x = 5 and the nth power of y = 3, find the 2n power of (XY)

solution
x^n=5
y^n=3
therefore
（xy)^n=15
therefore
(xy)^2n=[(xy)^n]^2
=15^2
=225
Hope to help you
Learning progress o (∩)_ ∩)O

The nth power of X is equal to 5, the nth power of Y is 3, and (XY) 2n is equal to,

（xy）2N=x2n·y2n
∵xn=5,yn=3,
∴x2n=25,y2n=9
∴(xy)2N=25·9=225
Come on, study math~

If the x power of 2 = 5 times the nth power of y = 2, find (XY to the 3N power)

2^x=2 ∴x=1
5*y^n=2
∴（xy)^3n=y^3n=(y^n)^3=(2/5)^3=8/125