Applying the rules of exponents, the letter answers that form the code are: MATH IS NOT JUST ANOTHER FOUR LETTER WORD.
<h3>What are the Rules of Exponents?</h3>
Some of the rules of exponents to be applied are as follows:
<h3>What are Equivalent Expressions?</h3>
If two expressions have the same value, both are said to be equivalent expressions.
1. 
Answer: H
2. 3³/6² = 27/36 = 3/4
Answer: R
3. ![\frac{3^2}{3^5} = 3^{2 - 5} = 3^{-3]} = \frac{1}{3^3} = \frac{1}{27}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E2%7D%7B3%5E5%7D%20%3D%203%5E%7B2%20-%205%7D%20%3D%203%5E%7B-3%5D%7D%20%3D%20%5Cfrac%7B1%7D%7B3%5E3%7D%20%3D%20%5Cfrac%7B1%7D%7B27%7D)
Answer: M
4. 7²/7² = 49/49 = 7° = 1
Answer: J
5. 8^-2 = 1/8² = 1/64
Answer: A
6. (4²)(4³) = 4^(2 + 3) = 
Answer: L
7. (3²)³ = 3²*³ = 
8. 4° × 4^-1 = 1 × 1/4 = 1/4
Answer: E
9. 
= 1
Answer: U
10. 
Answer: I
11. 
= 1
Answer: D
12. 
Answer: F
13. 
= 8² = 64
Answer: S
14. 
1/2³ × 1/3² = 1/8 × 1/9 = 1/72
Answer: O
15. 
Answer: N
16. 
= 2
Answer: T
Thus, applying the rules of exponents, the letter answers that form the code are: MATH IS NOT JUST ANOTHER FOUR LETTER WORD.
Learn more about the rules of exponents on:
brainly.com/question/12140519
Answer:
-6x^2-288
Step-by-step explanation:
18x - 432 - 18x - 6x² +144
Combine like terms
-6x^2+18x-18x-432+144
-6x^2-288
First we need to find the scale factor that 5 has decreased by
5/3=0.6
Then multiply the length of the birdhouse shadow by that scale factor
12*0.6=7.2 feet
So the new birdhouse shadow length is 7.2 feet
Hope this helps!
Answer:
To determine the common ratio of a geometric sequence. You just need to divide any two consecutive terms on it. You can see below that all of them have the same quotient.
1.2 / 1.5 = 0.8
0.96 / 1.2 = 0.8
0.768 / 0.96 = 0.8
.
Decimal form = 0.8
Fraction form = 4/5
.
Check:
1.5 x 0.8 = 1.2
1.5 x 4/5 = 6/5 = 1 1/5 = 1.2
Therefore, the common ratio between successive terms in the sequence? 1.5, 1.2, 0.96, 0.768 is 0.8 or 4/5.
