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maevemboucher78
16.11.2019 •
Mathematics
(100 points)
1. what is the answer to 7^8
7^6
2. what is 7(1/2 + 1/2)
3. what is the sum of the first 5 prime numbers?
Solved
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Ответ:
1.![\frac{7^8}{7^6}=49](/tpl/images/0376/7402/d20bb.png)
2. 7
3. 18
Step-by-step explanation:
Question 1:
Given:
The expression to simplify is
.
We use the property of exponent![\frac{a^m}{a^n}=a^{m-n}](/tpl/images/0376/7402/e6d8e.png)
Therefore,![\frac{7^8}{7^6}=7^{8-6}=7^2=7\times 7 = 49](/tpl/images/0376/7402/4fadb.png)
Question 2:
Given:
The expression to simplify is
.
We add the fractions first inside the parenthesis.
So,![\frac{1}{2}+\frac{1}{2}=\frac{1+1}{2}=\frac{2}{2}=1](/tpl/images/0376/7402/7e1ed.png)
Now,![7(1)=7](/tpl/images/0376/7402/a1496.png)
Question 3:
The first five prime numbers are 1, 2, 3, 5, and 7.
Therefore, the sum of these five numbers is given as:
Ответ:
The solution is![x = 0.83](/tpl/images/1266/8430/597fa.png)
Step-by-step explanation:
We are given the following equation:
To isolate x, we apply ln, which is the inverse of the exponential. So
Using a calculator:
The solution is![x = 0.83](/tpl/images/1266/8430/597fa.png)