How to judge the number of digits of the 9 power of 1.6 × 10

How to judge the number of digits of the 9 power of 1.6 × 10

Simple sequence (1.6X10 ^ 1 = 16
( 1.6x10)^2=256
(1.6X10) ^ 3 = 4996, so the 9th power of 1.6X10 is 10 digits
Find the range of function y = √ x2 + 4x + 5 + √ x2-4x + 8
Dial: the original function deformation, construction of plane graphics, geometric knowledge, determine the function value
The deformation of the original function is f (x) = √ (x + 2) 2 + 1 + √ (2-x) 2 + 22
Make a rectangle ABCD with length of 4 and width of 3, and then cut it into 12 units
Let HK = x, then EK = 2-x, KF = 2 + X, AK = √ (2-x) 2 + 22,
KC=√(x+2)2+1 .
From the triangle trilateral relation, AK + KC ≥ AC = 5
Take the equal sign when the line is closed
The domain of the original function is {y | y ≥ 5}
How do you get √ (2-x) 2 + 22? How can 22 be added to the root sign? Isn't 12 added?
Also, where is HK? How is it drawn?
(2-x) 2 + 22 should be √ [(2-x) &# 178; + 2 & # 178;]
If the square of (4 to the nth power) is equal to the 12th power of 2, find (- 2) to the nth power times the 2nd power of n
The square of ∵ (the nth power of 4) = the 12th power of 2
2n power of 4 = 6 power of 4
∴2n=6
N=3
(- 2) n power multiplied by 2 power of n
=(-2)³×3²
=-27×9
=-243
Explanation
(4^n)^2=2^12
2^4n=2^12
4n=12
N=3
（-2)^n*n^2
=(-2)^3*3^2
=-8*9
=-I don't understand. Please use Chinese characters to describe the symbol. First, find n (4 ^ n) ^ 2 = 2 ^ 12 2 ^ 4N = 2 ^ 12 (the base number is the same as 2, so the index is 4N = 12) 4N = 12 N = 3 according to the conditions in the title, and then substitute n = 3 to find (- 2) ^ n... expand
Explanation
(4^n)^2=2^12
2^4n=2^12
4n=12
N=3
（-2)^n*n^2
=(-2)^3*3^2
=-8*9
=-72 question: I don't understand. Please use Chinese characters to describe symbols
Find the range of function: y = x + 4 / X (x is not equal to 0)
It is easy to know that the function y = f (x) = x + (4 / x) is an odd function, so we only need to discuss the case of x > 0. When x > 0, we get x + (4 / x) from the basic inequality. 4. The equal sign is only obtained when x = 2. So when x > 0, the range of function y = f (x) is [4, + ∞). Obviously, X
When x > 0, Y > = 4 when x
Who is the ninth power of (a + b)?
Good bonus points!
Using binomial expansion theorem to calculate
(a+b)^n=C(n,0)a^n+C(n,1)a^(n-1)*b+C(n,2)a^(n-2)*b^2+...+C(n,n)b^n
Here n = 9
Are you crazy
The content of the quadratic term formula
Sixty-five
The range of function y = x ^ 2 + 1 / x ^ 2 + 9 (x is not equal to 0) is______
Let t = x ^ 2, y = t + 1 / T + 9, s = t + 1 / T, y = S + 9. What's the next step?
Let ^ t = 2,
y=t+1/t+9,
S = t + 1 / T ≥ 2 √ [t (1 / T)] = 2 Mean Inequality
If and only if t = 1, the equal sign holds
∴ y≥11
That is, the value range is [11, + ∞)
If (n power of a multiplied by m power of B multiplied by B) = 9 power of a multiplied by 15 power of B, find the value of M + n power of 2
m+1=15 m=14 n=9 m+n=23
So the answer is to the 23rd power of 2
The range of function y = x + 1 / X (x is not equal to 0) is ()
Discussion by situation
1. When x > 0, x + 1 / X ≥ 2; [inequality theorem, a + B ≥ 2 √ AB]
2. When x0, then: (- x) + (- 1 / x) ≥ 2, that is: x + 1 / X ≤ - 2;
Then: the range of function y = x + 1 / X is (- ∞, - 2] ∪ [2, + ∞)
Y ≥ 2 or Y ≤ - 2! Can you analyze it? thank you!
Can you put 99 9*99… 9+199… A number in this form is written as a power of a number Represents n numbers)
99...9*99...9+199...9
=(10^n-1)(10^n-1)+2*10^n-1
=10^(2n)-2*10^n+1+2*10^n-1
=100^n
This paper discusses the range of the square + 1 degree (a is greater than 0 and not equal to 1) of X of function y = a
Let t = the square of X + 1, then t ≥ 1;
When a > 1, y = a ＾ t ≥ a ＾ 1 = a;
Then the range is [1, + ∞);
When 0 < a < 1, y = a ＾ t ∈ (0, a]