For this case we must indicate an expression equivalent to:

By definition of properties of powers and roots we have that:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
Then, we can rewrite the expression as:

Answer:
OPTION A
Answer:
X + Y <= 95.
Y >= 20+ X.
Step-by-step explanation:
It is given that section X and section Y can have hardly 95 questions.
Hence either both have them has total 95 questions or less than 95 questions.
If we take X as the number of questions section X has and Y as the number of questions section Y has then X + Y <= 95.
Also it is given that Y has at least more 20 more questions than Y has. Hence Y can have 20 more question than X has or more than 20 more question than X.
That is Y >= 20+ X.
As shown in the graph the line passing through (95, 0) and (0, 95) the arrows are towards the origin because the origin satisfies the equation.
In the other line the origin that is (0, 0) does not satisfy the equation. Hence the arrows will not be towards the origin.
Answer: (x−3)(x+7)
=(x+−3)(x+7)
=(x)(x)+(x)(7)+(−3)(x)+(−3)(7)
=x^2+7x−3x−21
=x^2+4x−21
Answer:
-V (3 V^23 + 1)
Step-by-step explanation:
Simplify the following:
-3 V^24 - V
Factor -V out of -3 V^24 - V:
Answer: -V (3 V^23 + 1)
Answer:
y = 8
x = 8√5
z = 4√5
Step-by-step explanation:
Using the formula (which is a geometric mean):
a y
---- = -----
x a
Where a is the altitude (y), x is a projection (16), and y is the other projection (4):
y 4
---- = -----
16 y
Cross multiply:
y² = 16 (4)
y² = 64
√y² = √64
y = 8
To find x and z, use the Pythagorean Theorem:
16² + y² = x²
256 + 8² = x²
256 + 64 = x²
320 = x²
√320 = √x²
√64√5 = √x²
8√5 = x
x = 8√5
4² + y² = z²
16 + 64 = z²
80 = z²
√80 = √z²
√16√5 = √z²
4√5 = z
z = 4√5