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kicyunya [14]
4 years ago
15

Simplify the given exponential expression.

Mathematics
2 answers:
lilavasa [31]4 years ago
8 0
When we multiple exponential numbers we add the exponents so we get:
x^{9+2} = x^{11}
Andrews [41]4 years ago
6 0
The rule for multiplying similar bases with exponents is:

(a^b)*(a^c)=a^(b+c)

In this case you have:

(x^9)(x^2)

x^(9+2)

x^11
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3 years ago
5. (6 marks) Use mathematical induction to prove that for each integer n ≥ 4, 5^n ≥ 2^2n+1 + 100.
Tju [1.3M]

Step-by-step explanation:

We will prove by mathematical induction that, for every natural n\geq 4,  

5^n\geq 2^{2n+1}+100

We will prove our base case, when n=4, to be true.

Base case:

5^4=625\geq 612=2^{2*4+1}+100

Inductive hypothesis:  

Given a natural n\geq 4,  

5^n\geq 2^{2n+1}+100

Now, we will assume the induction hypothesis and then use this assumption, involving n, to prove the statement for n + 1.

Inductive step:

2^{2(n+1)+1}+100=2^{2n+1+2}+100=\\=4*2^{2n+1}+100\leq 4(2^{2n+1}+100)\leq 4*5^n

With this we have proved our statement to be true for n+1.  

In conlusion, for every natural n\geq4.

5^n\geq 2^{2n+1}+100

7 0
3 years ago
5, 3, 2, 6, 7, 9, 1, 15, 4, 2, 3, 3, 9, 5, 1, ?
Shkiper50 [21]

Answer:

I have no idea thank you for the points

Step-by-step explanation:

8 0
3 years ago
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A trapezoid of 15 square feet. if the bases are 4 feet and 6 feet what is the height of a trapezoid? Answer ASAP with workout.
gavmur [86]

Answer:

Trapezoid Area = [(sum of bases) / (2)] * height)

Trapezoid Area = (10) / (2)  * height

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Step-by-step explanation:

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USPshnik [31]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
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