By using exponent properties, we will see that the solutions are:
a) 15
b) 270.
<h3>
How to solve the given expressions?</h3>
Here you need to remember that:
![(\sqrt[n]{x} )^n = x](https://tex.z-dn.net/?f=%28%5Csqrt%5Bn%5D%7Bx%7D%20%29%5En%20%3D%20x)
a) First, we want to solve:

And these are square roots, then:
Now if we apply the above relation, we get:

b) Now we have the expression:
![(\sqrt[3]{9} )^3*(\sqrt{30})^2](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B9%7D%20%29%5E3%2A%28%5Csqrt%7B30%7D%29%5E2)
Again using the relation:
![(\sqrt[3]{9} )^3*(\sqrt{30})^2 = 9*30 = 270](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B9%7D%20%29%5E3%2A%28%5Csqrt%7B30%7D%29%5E2%20%3D%209%2A30%20%3D%20270)
If you want to learn more about exponents:
brainly.com/question/24487155
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The exterior angle is = to the 2 interior angles.
83 = (9x + 4) + (4x + 1) Remove the brackets
83 = 9x + 4 + 4x + 1 Group the like terms
83 = 9x + 4x + 4 + 1 Add the like terms.
83 = 13x + 5 Subtract 5 from both sides.
78 = 13x Divide by 13
78 / 13 = x
x = 6
So They want the angles
9x + 4 = 9*6 + 4 = 58
4x + 1 = 4*6 + 1 = 25
When you add these two together you should get 83. Do you?
Answer/Step-by-step explanation:
First, find the slope (m) of Line L using the points (0, 5) and (2, 1):

Slope (m) = -2
✔️Since the line is parallel bro Line L, it would also have the same slope value of -2.
We can use the slope (m) and a point (a, b) of the line to find its equation using the point-slope formula, y - b = m(x - a).
Substitute (a, b) = (3, 0), and m = -2 into y - b = m(x + a):
Thus,
✅y - 0 = -2(x + 3)
Rewrite equation in slope-intercept form
y = -2(x + 3)
✅y = -2x - 6
Answer:
The required biconditional statement is: If Smith is guilty, if and only if Jones is innocent.
Step-by-step explanation:
From the provided statement.
The statement is: If Smith is guilty, then Jones is innocent.
The converse is: If Jones is innocent, then Smith is guilty.
The combination of a conditional statement and its converse is called biconditional statement.
The biconditional statement contains if and only if phrase between two part of the statement.
Which means the statement and converse both are true.
Therefore, the required biconditional statement is: If Smith is guilty, if and only if Jones is innocent.