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3 years ago

The expression (3x^7)^4 is equivalent to c^n what is the value of c

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

7 0

Answer:

n= 21

c= 3x

Step-by-step explanation:

The expression is given as;

(3x⁷)⁴

Apply the brackets law of indices which states that :

If a term with a power is itself raised to a power then the powers are multiplied together

(xᵃ)ᵇ = xᵃˣᵇ

Applying the same;

(3x⁷)⁴ = 3x²¹

If 3x²¹ = c^n

Then n = 21

and

c= 3x

You might be interested in

Graph the function defined by f(x) = (x+21)

Inga [223]

Answer:

Step-by-step explanation:

Consider the parent function $y=|x|.$ The graph of this function is represented as red graph in attached diagram.

Now consider the function $y=|x+2|.$

Remind main translations of the graph of the function $y=f(x):$

$y=f(x-a)$ - translation a units to the right;
$y=f(x+a)$ - translation a units to the left;
$y=f(x)+a$ - translation a units up;
$y=f(x)-a$ - translation a units down.

In your case, the graph of the function $y=|x+2|$ is translated graph of the function $y=|x|$ 2 units to the left (blue graph). So, correct answer is option A.

5 0

3 years ago

The dimensions (width and length) of room1 have been read into two variables: width1 and length1. the dimensions of room2 have b

Reika [66]

Hello :
a single expression is : A = xy +zk
x : width1 y : length1
z : width2 k : length2
A : the total area of the two rooms
note :
A1 = xy ........area of the room 1
A2 = zk .......area of the room 2

3 0

3 years ago

Drag values to complete each equation.

Alex777 [14]

Answer:

1. A. 1

2. D. $17^9$

Step-by-step explanation:

Properties used:

Power of a Power Property
Product Property
Quotient Property
Zero Exponent Property

1. First, let's deal with the numerator.

$(17^3)^6$ can be turned into $17^1^8$ by using the Power of a Power Property.

And then use the Product Property, $(17^1^8)(17^-^1^0) = 17^8$

So now, our fraction is this: $\frac{17^8}{17^8}$

All number over itself in a fraction is equal to 1. But you can also do this the mathmatic way using the Quotient Property: $\frac{a^m}{a^n} = a^m^-^n$ or $\frac{1}{a^(^n^-^m^)}$ . Which then you plug the numbers in: $\frac{17^8}{17^8} = 17^8^-^8 = 17^0$ . And since we know that in Zero Exponent Property: $a^0 = 1$ , we can see that $17^0 = 1$ . So either way, we get 1.

So the answer is 1, which is A

2. Power of a Power Property: $(a^m)^n = a^m^n$

So plug the numbers in the property: $(17^{6}) ^3$ = $17^1^8$

Product Property: $(a^m)(a^n) = a^m^+^n$

We plug the equation in with $(17^{6}) ^3$ turned into $17^1^8$ ---

$(17^1^8)(17^-^9) = 17^1^8^-^9 = 17^9$

So the answer is $17^9$ , which is D

I hope this helps!
Please give Brainliest!

Have a great day!

7 0

2 years ago

Read 2 more answers

Jeremy lost his dog, and wants to make some signs to put up in the neighborhood. The cost to make 8 paper signs and 2 laminated

Mashcka [7]

Answer:

cost to make paper signs = $1

cost to make laminated signs = $2

Step-by-step explanation:

Let

x = cost to make paper signs

y = cost to make laminated signs

8x + 2y = 12 (1)

10x + 10y = 30 (2)

Multiply (1) by 5

40x + 10y = 60 (3)

10x + 10y = 30 (2)

Subtract (2) from (3) to solve for x

40x - 10x = 60 - 30

30x = 30

x = 30/30

x = $1

Substitute x = 1 into (1)

8x + 2y = 12

8(1) + 2y = 12

8 + 2y = 12

2y = 12 - 8

2y = 4

y = 4/2

y = $2

cost to make paper signs = $1

cost to make laminated signs = $2

5 0

3 years ago

Find the perimeter of a rectangle that is 2 and 1/2 yards by 4 and 1/2 yards

Travka [436]

The answer is 14. First, get both numbers and add them twice (2.5+2.5+4.5+4.5) or (2.5 * 2 + 4.5 * 2). Then you should get 2 numbers which are 9 and 5. Then it should be 14, which is the answer.

7 0

3 years ago