We have to simplify the expression here. The expression given,

Now to find
we will use power of a product property. We have to distribute the power here. We will get,

= 
Now we will use power of a power property. If given
we will have to multtiply the powers and we will get
. So we will get here,

Now the next part is 
By using power of a power property we will get,

Now we have to multiply them.

Now we have to use product of powers property. If we have same base them we will have to add the exponents there. The formula is
. So we will get here,


So we have got the required simplified answer here.
The simplified answer is
.
Answer:
f(r) = 2πr
Step-by-step explanation:
You know the formula for circumference in terms of radius is ...
C = 2πr
You are being asked to write this as a function named "f". That will be ...
f(r) = 2πr
Answer:
A
m less than or equal to 19
She can buy at most 19
Step-by-step explanation:
25 divided by 1.29 is 19.379844... but you can't buy fractions of a music song.
So the closest to the maximum would be 19.
Given:
Annual salary average: $22,040
Annual Social security benefit: 42% of salary average
Monthly bill: $1,375
$22,040 x 42% = $9,256.80 per annum
$9,256.80 / 12 mos = $771.40 per month
$1,375 – 771.40 = $603.60
Since, Christina only receives $771.40 per month from her Social Security benefit, she has to take $603.60 from her savings each month to help pay her monthly bill of $1,375.
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Answer:
D) n^6 - 6m^6 + 7mn^5 + 14m^2n^4 -5m^3 n^3
Step-by-step explanation:
The given polynomial is 8mn^5 -2m^6 +5m^2 n^4 - m^3 n^3 + n^6 - 4m^6 + 9m^2n^4 -mn^5 - 4m^3n^3
Now we have to identify the like terms and simplify.
Like terms are nothing but the terms which have the same variables with same powers.
= (8mn^5 - mn^5) -2m^6 - 4m^6 + 5m^2 n^4 + 9m^2 n^4 - m^3n^3 - 4m^3n^3 +n^6
Now combine the like terms
= 7mn^5 - 6m^6 +14m^2 n^4-5m^3n^3 + n^6
It can be written in standard form
= n^6 - 6m^6 + 7mn^5 + 14m^2n^4 -5m^3 n^3
The answer is D)
Hope this will helpful.
Thank you.