If the absolute value of (a + 1) square plus B minus 2010 equals zero, then what is the B power of a

If the absolute value of (a + 1) square plus B minus 2010 equals zero, then what is the B power of a

A=-1
B=2010
The result is 1

Given the square of X + X + 1 = 0, find the value of X's 2013 power + X's 2012 power + X's 2011 power emergency

∵ the square of X + X + 1 = 0
X's 2013 power + X's 2012 power + X's 2011 power
=2011 power of X × (square of X + X + 1)
=0

Given that the absolute values of x.y are reciprocal to each other, X is not equal to y, and the absolute values are equal, find the nth power of (- x) minus the nth power of Y (n is a positive number)

Because the absolute values of X. y are reciprocal to each other, X is not equal to y, and the absolute values are equal
X = 1 y = - 1 or x = - 1 y = 1
When x = 1, y = - 1,
If n is odd, (- x) ^ n-y ^ n = - 1 + 1 = 0; if n is even, (- x) ^ n-y ^ n = 1-1 = 0
When x = - 1, y = 1,
If n is odd, (- x) ^ n-y ^ n = 1-1 = 0; if n is even, (- x) ^ n-y ^ n = 1-1 = 0
So the nth power of (- x) minus the nth power of Y (n is a positive number) is 0

Given that the quadratic power of X + the negative second power of X is equal to 2 times the root sign 2, and X is greater than 1, find the value of the second power of x minus the negative second power of X

X ^ 2 + x ^ (- 2) = 2 ^ (1 / 2) then, if you let t = x ^ 2, solve an equation about t (well solved), there are two solutions. According to x greater than one, we can get t = 2 ^ (1 / 2) + 1. Then bring t into the formula you require (there will be a process of rationalization of denominator), and the result is 2

Given 2x + 5y-3 = 0, find the x power of 4 times the Y power of 32

4^x*32^y
=2^2x * 2^5y
=2^(2x+5y)
=2^(0+3)
=8

If 2x + 5Y = 3, find the x power of 4 times the Y power of 32

To the x power of 4 times the Y power of 32
=2^(2x)×2^(5y)
=2^(2x+5y)
=2³
=8

If x squared plus x minus 1 equals 0, what is the value of the algebraic formula X Cubic plus 2 x minus 7,

∵x²+x-1=0
∴x²=1-x
∴x³+2x²-7
=x(1-x)+2x²-7
=x+x²-1-6
=-6

The square of x minus 4 plus 1 equals 0. Find the fourth power of X and one fourth of X

X? - 4x + 1 = 0 both sides divided by X
x-4+1/x=0
x+1/x=4
Simultaneous square of both sides
x²+2+1/x²=16
x²+1/x²=14
Simultaneous square of both sides
x^4+2+1/x^4=196
The fourth power of x plus the fourth power of x = 196-2 = 194

The second power of x minus 1 equals 3 of 2! The answer is X1 = 2 x2 = minus 1 / 2!

(x²-1)/x=3/2
x²-1-3/2x=0
2x²-3x-2=0
Cross multiplication
X = - 1 / 2 or x = 2

Given that the integer ABC satisfies the a power of (20 / 3) times (8 / 15) and B power of (9 / 16) times C power = 4, find ABC

(20/3)^a*(8/15)^b*(9/16)^c=4
(2^2*5/3)^a*(2^3/3*5)^b*(3^2/2^4)^c=4
(2^2a*5^a/3^a)*(2^3b/3^b*5^b)*(3^2c/2^4c)=4
2^(2a+3b-4c)*5^(a-b)*3^(2c-a-b)=2^2
a-b=0,2c-a-b=0,2a+3b-4c=2
a=b,2c-a-b=0,2a+3b-4c=2
2c-a-a=0,
2c-2a=0,
a=c=b
2a+3b-4c=2
2a+3a-4a=2
A=2
a=b=c=2
abc=2*2*2=8