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
Tom [10]
3 years ago
10

Exponents!

Mathematics
1 answer:
sweet [91]3 years ago
4 0
We know that:

x^{a+b}=x^a\cdot x^b

and:

(x\cdot y)^a=x^a\cdot y^a

so:

3^{x+2}-3^{x}=6^3\cdot3^7\\\\3^x\cdot3^2-3^x=(2\cdot3)^3\cdot3^7\\\\3^x\cdot9-3^x=2^3\cdot3^3\cdot3^7\\\\3^x\cdot9-3^x=8\cdot3^3\cdot3^7\\\\
3^x\cdot9-3^x=8\cdot3^{3+7}\\\\3^x\cdot9-3^x=8\cdot3^{10}\\\\3^x\cdot(9-1)=8\cdot3^{10}\\\\8\cdot3^x=8\cdot3^{10}\quad|:8\\\\3^x=3^{10}\\\\\boxed{x=10}
You might be interested in
Divide. write each answer in simplest form.
Aleksandr [31]

Answer:

just do cross multiplication

Step-by-step explanation:

then ans will come

5 0
3 years ago
Read 2 more answers
Which shows a perfect square trinomial?
anastassius [24]
The answer is <span>c. 16x2 + 24xy + 9y2.

Since we need trinomial (three term expression) choices a and b are incorrect because they have only two terms.

So, our square trinomial is a</span>² + 2ab + b² or a² - 2ab + b²
a² + 2ab + b² = (a + b)²
a² - 2ab + b² = (a - b)²

Let's check choices c and d:
c) 16x² + 24xy + 9y²
a² = 16x²
a² = (4x)²
a = 4x

b² = 9y²
b² = (3y)²
b = 3y

a² + 2ab + b² = (4x)² + 2 * 4x * 3y + (3y)² = 16x² + 24xy + 9y²
CORRECT

d) 49x² - 70xy + 10y²
a² = 49x²
a² = (7x)²
a = 7x

b² = 10y²
b² = (y√10)²
b = y√10

a² + 2ab + b² = (7x)² + 2 * 7x * y√10 + (y√10)² = 49x² + 14xy√10 + 10y²
INCORRECT

So, c) is correct answer
8 0
4 years ago
Read 2 more answers
What is 24^3 - 9 + 8? Factorize if possible please!
Ahat [919]

Answer:

13,823

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A house painter was told by his boss to purchase enough paint to cover 75 square feet to finish a project. The house painter hap
Rama09 [41]
It must be noted that the area of the square is calculated through the equation,
                                    A = s²
where A is area and s is the measure of one side of the square. 
To determine the measure of one side of the square, we simply have to get the square root of the area,
                                               s = √A
Substituting the known value,
                                                s = √75 ft² = 5√3 ft ≈ 8.66 cm
Thus, the answer to this question is approximately 8.66 cm. 
7 0
3 years ago
Read 2 more answers
What is the y intercept of y=9x-11
svetlana [45]

Answer:

-11

Step-by-step explanation:

To find the y-intercept, simply look at the constant at the end of this equation. Let's look at the linear function equation. The equation is y=mx+b. In this case, the constant is b. The constant always is the non-x term, so for the question, the y-intercept would be -11.

8 0
3 years ago
Other questions:
  • Dogwood Park is 30 yards long by 20 yards wide. Kylie is making plans to double the area by adding a strip at one end and anothe
    10·1 answer
  • What is the result when you convert 27% to a fraction,and reduce it to its lowest term?
    9·1 answer
  • What is the simplest form of 4/8
    5·2 answers
  • The cake store is having a 25% off sale on all of its cakes. If the cake you want regularly costs $9 how much would you save wit
    14·2 answers
  • What is 48,000 oz in T
    6·1 answer
  • It costs $1.08 to buy 3 green marbles. If the marbles all have the same price, how much
    10·2 answers
  • Find the value of x in the triangle shown below.
    10·1 answer
  • Please help ASAP I’ll mark brainlist
    14·1 answer
  • What is the Value of f(6) if f(x)=2x-11
    9·2 answers
  • NO LINKS!! Explain your answer (show the support by showing the changes in x and y on your table). If the relationship is linear
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!