N=1→an=a1 (first term)=16 (on the graph for n=1)→First term = 16
n=2→an=a2 (second term) = 4 (on the graph for n=2)→Second term = 4
ratio=(Second term)/(First term)=a2/a1=4/16
Simplifying the fraction dividing the numerator (4) by 4 and the denominator (16) by 4:
ratio=(4/4)/(16/4)→ratio=1/4
Answer: Option A. First term = 16, ratio = 1/4
A) 20.9
b) (230 + x) / 12 = 22
230 + x = 264
x = 34 years old
We are asked in this problem to determine the condensed form of the expression (7^10)^5. we apply here the power rule in which exponents are multiplied to each other to get the expanded form. In this case, we multiply 10 by 5 that is a total of 50. hence the answer to this problem is D. 7^50
(9)^4 × (27)^3 × (81)^2 / (3)^24 = 3.
Explanation:
- All the numbers in the numerator i.e. 9, 27, 81 are multiples of 3.
- 9 = 3 × 3 = 3², 27 = 3 × 3 × 3 = 3³, 81 = 3 × 3 × 3 × 3 =
. 
= (3^2)^4, 27³ = (3^3)^3, 81^2 = (3^4)^2.- According to the power rule, (a^x)^y = a^xy.
- So the given numbers can be written as follows = 3^8, 27³ = 3^9 and 81² = 3^8.
- According to the product rule, (a^x) × (a^y) = a^xy.
- So the numerator can be written as × 27³ × 81² = (3^8) × (3^9) × (3^8) = 3^(8+9+8) = 3^25.
- So the fraction becomes 3^25 / 3^24 = 3 × 3^24 / 3^24 = 3.
4
Step by step explanation This is how I got the answer to your question and I gave you the solution I hope this helps you out
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