Let n be a positive integer and the 2n power of x = 4. Find the square of 9 (3N power of x) - 13 (the square of x) to the 2n power

Let n be a positive integer and the 2n power of x = 4. Find the square of 9 (3N power of x) - 13 (the square of x) to the 2n power

9[x^(3n)]^2-13(x^2)^(2n)
=9*[x^(2n)]^3-13[x^(2n)]^2
=9*4^3-13*4^2
=9*64-13*16
=576-208
=368

Let n be a positive integer and the 2n power of x = 3. Find the square of 9 (x to the 3N power)

Let n be a positive integer and the 2n power of x = 3
The square of 9 (x to the 3N power)
=9 * (6N power of x)
=9 * (2n power of x) 3
=9*3³
=9*27
=243

It is known that a = M-N radical sign m + N + 3 is the arithmetic square root of M + N + 3. B = m-2n radical sign m + 2n is the cube root of M + 2n. Find the value of b-a

From the known {M-N = 2 m-2n = 3}
The solution is {M = 1, n = - 1}
ν a = 1 + (- 1) + 3 = 3 below the root
B = 1 + 2 * (- 1) = - 1 under cube root
﹣ B-A = - 1-3 under the radical
Root can't play, and * is a multiplier Hope to adopt Hee hee

Let a = M-N root sign N-M + 3 be the arithmetic square root of N-M + 3, and B = m-2n + the cube root of M + 2n, find the square root of b-a Big brother and sister help

m-n=2
m-2n+3=3
m=4 n=2
A=1 B=2
B-A = 1, square root is ± 1

Calculate the root (9a square + 27a to the fourth power) (a < 0)

In the root sign, we first raise 9A square, and the output is - 3A (a < 0),
The result is equal to -- 3A root sign (1 + 3A Square)

Calculation: 2012 power of (- 1) - root sign (2-root 5) square + root sign 12-1

=1-(√5-2)+2√3-1
=1-√5+2+2√3-1
=3+2√3-√5

Calculate the square of (- 1 / 2) 0 power + (root 2 / x) - 1 power + 2 / root 3-1 + root sign (root 3-2) emergency

Calculate the square of (- 1 / 2) 0 power + (root 2 / 3) - 1 power + 2 / root 3-1 + root sign (root 3-2)
The square of (- 1 / 2) 0 power + (root 2 / 3) - 1 power + 2 / root 3-1 + root sign (root 3-2)
=1 + 1 / 2 root sign 6 + root sign 3 + 1 + 2 - root sign 3
=4 + 1 / 2 root sign 6

Calculation: the square of root 2 × (1 + 2 times of root 3) + the square of (- 2), the zeroth power of (1-radical 3) - root 24, is equal to what?

Radical 2 + 3

Simplify the cubic power of square y of root 2x

√2x²y³ = | x | y √2y
= xy√2y (x≥0)
= -xy√2y (x＜0)

First, take into account the simplified formula X-2 of the root sign X-2 divided by the root X-2 of the root sign X-2, and then select an appropriate X

X-2 times the root X-2 divided by the third power of the root x-2x X
=[√(x-2)]/(x-2)÷[x/√(x³-2x²)]
=[1/√(x-2)]*[x√(x-2)/x]
=1