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Elina [12.6K]
3 years ago
11

An example of Power of a Power Property

Mathematics
1 answer:
ella [17]3 years ago
3 0
Power of a power as applied to exponents is the following:

The power of a power is the product of the exponents, or

(x^a)^b = x^(ab)

For example
(5^2)^3=5^(2*3)=5^6=15625
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Given points A(3,7) and B(8, -3) are the end points of AB, calculate the coordinates of M, the midpoint.​
tester [92]

Answer:

(5.5,2)

Step-by-step explanation:

see the pic for the steps

7 0
3 years ago
Solve the following: 2(6x + 5) = 94
Black_prince [1.1K]

Answer: x=7

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(6x+5)=94

(2)(6x)+(2)(5)=94(Distribute)

12x+10=94

Step 2: Subtract 10 from both sides.

12x+10−10=94−10

12x=84

Step 3: Divide both sides by 12.

12x

12

=

84

12

x=7

6 0
3 years ago
Read 2 more answers
Solve y=f(x) for x . f(x)=23x+4 x= Question 2 Find the input when the output is 2. The input is .
Fantom [35]

Let's find f(x) = 2, which is essentially what the problem is asking, what x corresponds to an output of 2.


Let's solve below:

f(x) = 2

  • Setting up what we know

23x + 4 = 2

  • Substituting in 23x + 4 for f(x) (I'm not sure if this is the correct expression for f(x) due to formatting issues)

23x = -2

  • Subtract 4 from both sides to make a step to isolate x (what we are trying to find)

x = - \frac{2}{23}

  • Divide both sides of the equation by 23 to isolate x

Thus the input is \boxed{x = - \frac{2}{23}}.

4 0
3 years ago
How do I do this please help me?
TEA [102]
4. First find how much sauce is used for 1 person:

2 ÷ 7 = 0.285714285714286

0.285714285714286cups of sauce will make spaghetti for one person.

0.285714285714286 • 210 = 60

60 cups of sauce for 210 people.

5. Found out how much he read in one minute:

40 ÷ 50 = 0.8

0.8 • 80 = 64

In 80 minutes, she will read 64 pages.

6. Found out how much he earns after one month:

9 ÷ 6 = 1.5

1.5 • 12 = 18

18 • 2 = 36

After two years, he will have 36 days of vacationing time



7 0
3 years ago
obtain the equation of two points passing of lines 4x-3y-1=0 and 2x-3y+3=0 and equally inclined to the axes​
klasskru [66]

Answer:By 8(4)P.5, the slope of the line equally inclined to axes is tan(±45  

o

)=±1. Hence by P+λQ=0,

5λ+3

2λ+4

​

=±1

⇒λ=  

3

1

​

,−1. Putting for λ, the two lines are

x−y=0,x+y−2=0.

Was this answer helpful

8 0
2 years ago
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