1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
My name is Ann [436]
3 years ago
5

Please hepl with math

Mathematics
1 answer:
Ivenika [448]3 years ago
6 0

Answer:

\dfrac{5^{n+2}-6\times 5^{n+1}}{13 \times5^{n}-2\times5^{n+1}} = -\dfrac{5}{3}

Step-by-step explanation:

We are given the expression to be simplified:

\dfrac{5^{n+2}-6\times 5^{n+1}}{13 \times5^{n}-2\times5^{n+1}}

Let us take common a term with a power of 5 from the numerator and the denominator of the given expression.

We know that:

a^{p+q} = a^p \times a^q

Let us use it to solve the powers of 5 in the given expression.

\therefore we can write:

5^{n+2} = 5^{n+1}\times 5= 5^n\times 5^{2}

5^{n+1} = 5^n\times 5

The given expression becomes:

\dfrac{5^{n+1} \times 5-6\times 5^{n+1}}{13 \times5^{n}-2\times5^{n}\times 5}

Taking common 5^{n+1} from the numerator and

Taking common 5^{n} from the denominator

\Rightarrow \dfrac{5^{n+1} (5-6)} {5^{n}(13-2\times5)}\\\Rightarrow \dfrac{5^{n+1} (-1)} {5^{n}(13-10)}\\\Rightarrow -\dfrac{5^{n+1}} {5^{n}\times3}\\\Rightarrow -\dfrac{5^{n}\times 5} {5^{n}\times3}\\\Rightarrow -\dfrac{5}{3}

\therefore The answer is:

\dfrac{5^{n+2}-6\times 5^{n+1}}{13 \times5^{n}-2\times5^{n+1}} = -\dfrac{5}{3}

You might be interested in
Estimint 697 times 3
frutty [35]
700 times 3 is 2,100, You get 700 from estimating 697
4 0
3 years ago
2 – 3х + 5х = 16 — 8х + 8x
IgorLugansk [536]

Answer:

2 – 3х + 5х = 16 — 8х + 8x

2 - 8x = 16

8x = 14,

x = 1.75

3 0
2 years ago
Read 2 more answers
Stacy and Travis are rock climbing. Stacy’s rope is 4 feet shorter the 3 times the length of Travis rope. Stacy’s rope is 23 fee
prohojiy [21]
23×3=69
69-4=65
travis's rope is 65ft long.
7 0
3 years ago
What is 7/3 % 3/5 thanks
Korolek [52]

What do you mean suhdbebejsjdudbdndndhdnnd

7 0
3 years ago
A radio is on sale for half price. Let y be its original price. Write an expression that tells its sale price.
svetlana [45]

Answer:

50% off of y

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Bowie started painting at 9:40 a.m. and painted until 11:00. How long did he paint?
    10·1 answer
  • Drag and drop the symbol that correctly represents this graph.
    15·2 answers
  • Mark is in training for a bicycle race. He needs to ride 50 kilometers a week as part of his training. He rode 18.23 kilometers
    15·1 answer
  • Plz help asap 14 points
    12·1 answer
  • It takes 28minutes for 7 people to paint 7 walls. How many minutes does it take 14 people to paint 14 walls?
    11·1 answer
  • A GE lightbulb is supposed to last for 1,200 hours. In fact, light bulbs of this type last only 1,185 hours with a standard devi
    9·1 answer
  • -68 times the difference between a number and 11 is equal to the number one plus -94
    8·1 answer
  • Can someone please help me with this
    14·2 answers
  • 342 employees prefer a bonus over extra vacation days from a survey of 450 employees what is the population proportion
    7·1 answer
  • Find all angles in [0,2pi) that satisfy the equation: 3csc^2()cot(x)=−4cot(x)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!