We need to get rid of expression parentheses.
If there is a negative sign in front of it,
each term within the expression changes sign.
Otherwise, the expression remains unchanged.
Numerical 'like' terms will be added. There is only one group of like terms
the answer is: ab-4a-5
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Answer:
y = 0
Step-by-step explanation:
It is always a good idea to look at the question and make some observations about it. Here, you might observe ...
- all of the bases are powers of 3: 243 = 3^5; 9 = 3^2
- y is a factor of every exponent
The latter observation is important, because it means that when y=0, every exponential expression has a value of 1. Hence y = 0 is a solution.
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To solve the equation, you can write it in terms of powers of 3.
(3^5)^(-y) = (3^-5)^(3y)·(3^2)^(-2y)
3^(-5y) = 3^(-15y)·3^(-4y)
3^(-5y) = 3^(-19y)
-5y = -19y . . . . . . . . equating exponents; equivalent to taking log base 3
14y = 0 . . . . . . . . . . add 19y
y = 0 . . . . . . . . . . . one solution
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The rules of exponents we used are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
1/a^b = a^-b
Answer:
0.5%
Step-by-step explanation:
That percentage would be:
8 people
--------------------- = (1/200) = 0.005 multiplied by 100% yields 0.5%
1600 people
Answer:
Step-by-step explanation:
Answer:
the answer is A
Step-by-step explanation:
