Using the power of zero property, we find that:
a) The simplification of the given expression is 1.
b) Since , equivalent expressions are:  and .
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The power of zero property states that any number that is not zero elevated to zero is 1, that is:
Thus, at item a, , thus the simplification is .
At item b, equivalent expressions are found elevating non-zero numbers to 0, thus  and .
 
        
             
        
        
        
There should be 283.9. (rounded to the nearest unit). :) <span />
        
                    
             
        
        
        
Answer:
 log x^13.
Step-by-step explanation:
Using the laws of logarithms
a log b = log b^a and  log a + log b = log ab:
3 log x^2 + 7 log x
= log (x^2)^3 + log x^7
= log x^6 + log x^7
= log (x^6*x^7)
= log x^13.
 
 
        
             
        
        
        
5. m∠C = 95°
6. m∠C = 70°
7. The other acute angle in the right triangle = 70°
8. m∠C = 70°
9. m∠C = 60° [equilateral triangle]
10. Measure of the exterior angle at ∠C = 110°
11. m∠B = 70°
12. m∠Z = 70°
<h3>What are Triangles?</h3>
A triangle is a 3-sided polygon with three sides and three angles. The sum of all its interior angles is 180 degrees. Some special triangles are:
- Isosceles triangle: has 2 equal base angles.
- Equilateral triangle: has three equal angles, each measuring 60 degrees.
- Right Triangle: Has one of its angles as 90 degrees, while the other two are acute angles.
5. m∠C = 180 - 50 - 35 [triangle sum theorem]
m∠C = 95°
6. m∠C = 180 - 25 - 85 [triangle sum theorem]
m∠C = 70°
7. The other acute angle in the right triangle = 180 - 90 - 25 [triangle sum theorem]
The other acute angle = 70°
8.  m∠C = 180 - 55 - 55 [isosceles triangle]
m∠C = 70°
9. m∠C = 60° [equilateral triangle]
10. Measure of the exterior angle at ∠C = 50 + 60
Measure of the exterior angle at ∠C = 110°
11. m∠B = 115 - 45
m∠B = 70°
12. m∠Z = 180 - 35 - 75
m∠Z = 70°
Learn more about triangles on:
brainly.com/question/25215131
#SPJ1
 
        
             
        
        
        
Hey i would answer but you didn’t provide enough context! make sure to upload images with your question hun.