Answer:

Step-by-step explanation:
Given (64 y Superscript 100 Baseline) Superscript one-half.
Let us write it into an equation.

Apply radical rule:
and 
![\begin{aligned}\left(64 y^{100}\right)^{\frac{1}{2}} &=\sqrt[2]{64 y^{100}} \\&=\sqrt[2]{8^{2} y^{50} y^{50}} \\&=\sqrt[2]{8^{2}\left(y^{50}\right)^{2}} \\&=8 y^{50}\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cleft%2864%20y%5E%7B100%7D%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%20%26%3D%5Csqrt%5B2%5D%7B64%20y%5E%7B100%7D%7D%20%5C%5C%26%3D%5Csqrt%5B2%5D%7B8%5E%7B2%7D%20y%5E%7B50%7D%20y%5E%7B50%7D%7D%20%5C%5C%26%3D%5Csqrt%5B2%5D%7B8%5E%7B2%7D%5Cleft%28y%5E%7B50%7D%5Cright%29%5E%7B2%7D%7D%20%5C%5C%26%3D8%20y%5E%7B50%7D%5Cend%7Baligned%7D)
Hence,
is equivalent to (64 y Superscript 100 Baseline) Superscript one-half.
Answer:
Inequalities work exactly like equations with one exception. The process begins just like equations: first, do the opposite of what you see, then do the same thing on the other side of the sign. At the last step of solving an inequality, if you multiply or divide by a negative number, then you reverse the sign
9514 1404 393
Answer:
120°
Step-by-step explanation:
There are several ways you can redraw this figure to help you find the value of x. One of them is to draw a line perpendicular to the parallel lines, intersecting the vertices of the given angles*. Then the interior angles of the triangle formed will be ...
125° -90° = 35°
115° -90° = 25°
The angle that is a vertical angle with x is the third angle of the triangle, so its measure is ...
x = 180° -35° -25° = 120°
The value of x is 120°.
Answer: x = 2, x = - 5Explanation:1) The given expression is not clear.
I will rewrite it using the math editor for better understanding

2) Since the bases are equal, the exponents are equal too.
=> x^2 + 5x - 4 = 2x + 6
Solve that quadratic equation step by step:
3) transpose 2x + 6 to the left side:
x^2 + 5x - 4 - 2x - 6 = 0
4) Combine like terms:
x^2 + 3x - 10 = 0
5) Factor:
(x + 5) (x - 2) = 0
6) Equal each factor to 0
x + 5 = 0 => x = - 5
x - 2 = 0 => x = 2
Those are the solutions x = - 5 and x = 2
Answer:
yes
Step-by-step explanation:
Because the point lie on the plane they are coplanar