The square of M + 2n and the absolute value of N + 1 are opposite to each other. How much is the m power of N equal to

The square of M + 2n and the absolute value of N + 1 are opposite to each other. How much is the m power of N equal to

Opposite numbers add up to 0
(m+2n)²+|n+1|=0
If one is greater than 0, the other is less than 0
So both are equal to zero
So m + 2n = 0
n+1=0
n=-1,m=2
So the m power of n = (- 1) 2 = 1

If the m power of 2 = a, and the nth power of 32 = B, then the power of 2 is 3M + 10N= I hope someone can do it

32^n
=(2^5)^n
=2^5n=b
2^(3m+10n)
=2^3m×2^10n
=(2^m)^3×(2^5n)^2
=a³b²

If the m power of x = the negative first power of 5 and the n power of x = 3, then what is the 3M + 2n power of X, and what is 2m-3n of X?

Because x ^ m = 5 ^ (- 1) = 1 / 5
So x ^ 3M = 1 / 125
x^2m=1/25
Because x ^ n = 3
So x ^ 2n = 9
x^3n=27
So x ^ 3M + 2n = (1 / 125) * 9 = 9 / 125
x^2m-3n=(1/25)/27=1/675

Given M-N = 6, find the value of 4 (m-n) - 3M + 3N + 8

4(m-n)-3m+3n+8
=4(m-n)-3(m-n)+8
=(m-n)+8
∵m-n=6
The original formula = 6 + 8 = 14

Given 1 / M-1 / N = 2, try to find the value of (3m + mn-3n) / (m-mn-n)

0

The root of (3x) = + 3x

The number of the square root must be greater than or equal to 0, so the square of X is put forward under the root sign on the left
The square of X must be greater than or equal to 0, and X + 3 ≥ 0, so x ≥ - 3, there is also x + 3 under the root sign to the right of the equal sign
To ensure that it is meaningful, so x ≥ - 3, and because the left is the arithmetic square root, it must be ≥ 0
On the right is - x, so - x ≥ 0, so x ≤ 0,
The solution set is drawn on the number axis to determine the range of values that make the equation meaningful: - 3 ≤ x ≤ 0

In this paper, we first simplify the evaluation of A-B fraction B-A ^ 3-2a ^ 2B + AB ^ 3 divided by a ^ 2-B ^ 2 fraction AB + B ^ 2, where a equals 12 and B equals 3 under the root sign It's a little messy

b b³ ab + b²——— － ———————— ÷ ——————-a - b a³ - 2a²b + ab² a² - b²b/(a - b) － b³/(a³ - 2a²b + ab²) ÷ (ab + b²)/(a² ...

(a-radical 3) (a + radical 3) - A (a-6) simplify and then evaluate! Replace a = 2 into Calculation: the square of MX - 6mx + 9m = 3AB + A's square B = x's Square, y-xy's Square = 4x's Square - 4 = ax's square + 2axy + ay's Square = x's Square - 2XY + Y's Square = (a + b) (a-b)=

(a-radical 3) (a + radical 3) - A (a-6)
=a²-3-a²+6a
=-3+6a
=-3+12=9
The square of MX - 6mx + 9m = m (x? - 6x + 9) = m (x-3) 2
The square of 3AB + a B = AB (3 + a)
Square of X, square of y-xy = XY (X-Y)
The square of 4x - 4 = 4 (x? - 1) = 4 (x + 1) (x-1)
The square of AX + 2axy + ay = a (x 2 + 2XY + y 2) = a (x + y) 2
Square of X - 2XY + square of y = (X-Y) 2
（a+b)(a-b)= a²-b²

How to simplify 2 plus root 2 divided by 6 minus 2 times root 3

(2+√2)/(6-2√3)
=(1/2)(2+√2)/(3-√3)
=(1/2)(2+√2)(3+√3)/[(3+√3)(3-√3)]
=(1/2)(6+2√3+3√2+√6)/6
=(6+2√3+3√2+√6)/12

1. Reduce 1 / x square + 1 / y square under root sign 2. The third power of 8 + 4a-2a-a-a (0 < a < 2, b > 0)

1.1 / | XY | * root sign x? + y
2. Under radical sign (A-2) / b