Answer:
The value of n in the given equation is; n = 10
Step-by-step explanation:
Exponent for a natural power b is defined as iterated multiplication, which Knuth denoted by a single up-arrow:
a↑b = 
......[1]
Given the expression: 2↑2 * 2↑n = (2↑4)↑3
Using [1] in the given expression is;
Using 
and 
we have;
2 + n = 12 [ Using 
⇒ m =n ]
Subtract 2 to both sides of an equation:
2 + n - 2 = 12 -2
Simplify:
n = 10
Therefore, the value of n is, 10
The algebraic expression x³ + 1 as given in the task content can be described as a binomial and a a cubic function as it has order 3.
<h3>What is the description of the expression x³ +1?</h3>
The expression as given in the task content has 2 terms and hence, it change termed a binomial.
Also, since the greater power of the variable x is 3, it follows that the order of the equation is 3 and it is a cubic algebraic expression.
Read more on algebraic expressions;
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Answer: 16x+3+x214
Step-by-step explanation:
Multiply 2 and 2 to get 4.
4+16x+x214−1
Subtract 1 from 4 to get 3.
3+16x+x214
To add or subtract expressions, expand them to make their denominators the same. Multiply 3+16x times x2x2.
x2(3+16x)x2+x214
Since x2(3+16x)x2 and x214 have the same denominator, add them by adding their numerators.
x2(3+16x)x2+14
Do the multiplications in (3+16x)x2+14.
x23x2+16x3+14
Answer:
3cm/s
Step-by-step explanation:
Area of a square is expressed as:
A = L²
Rate of change of area is expressed as:
dA/dt = dA/dL•dL/dt
Given that
dA/dt = 24cm²/s
L = 4cm
Required
dL/dt
Since dA/dl = 2L
dA/dl = 2(4)
dA/dl = 8cm
Subatitute the given values into the formula
24 = 8 dL/dt
dL/dt = 24/8
dL/dt = 3cm/s
