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Sophie [7]
3 years ago
15

Simplify (x^4y)^3. x^12y^3 x^4y^3 x^7y^3

Mathematics
1 answer:
pogonyaev3 years ago
4 0
<h3>Answer: Choice A,  x^12y^3</h3>

=========================================================

Explanation:

Think of x^4y as x^4y^1. When we raise this to the third power, we multiply the outer exponent 3 by each inner exponent

x^4 turns into x^12

y^1 turns into y^3

-----------

This is one way to show your work

(x^4y)^3

(x^4y^1)^3

x^(4*3)*y^(1*3) ... multiplying outer exponent by each inner exponent

x^12y^3

-----------

A more lengthy way to get the answer is to write x^4y out three times multiplying by itself that many times. The outer exponent 3 tells us we will have three copies of x^4y multiplied with itself.

(x^4y)^3 = (x^4y)*(x^4y)*(x^4y)

(x^4y)^3 = (x^4*x^4*x^4)*(y*y*y)

(x^4y)^3 = ( x^(4+4+4) ) * ( y^(1+1+1) )

(x^4y)^3 = x^12y^3

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Compare 4/7 and 6/7<br><br><br>ASAP
Ad libitum [116K]

Answer:

4/7<6/7

Step-by-step explanation:

0.57142857142 < 0.85714285714

4 0
3 years ago
There are 24 students in Mr. Garcia's science class and 15 are girls.
posledela

Answer:

part to whole !

Step-by-step explanation:

24 is the total number of kids in her class, and the 15 is the PART of the Whole number of kids in her class that are girls. hope this helps, please mark me brainliest thanks !

6 0
2 years ago
Read 2 more answers
Which lettere label the locations of the oppiste numbers –5 and 5 ​
stira [4]

Answer:

A. <em>A </em>and <em>F</em>.

Step-by-step explanation:

By observing the number line given, you can assume that in between -4 and -6 would be the number -5, replaced by the variable <em>A</em>, and the same thing with 4 and 6, where 5 is replaced by <em>F</em>.

4 0
2 years ago
2 to 36 to 64 what did Tina do wrong
pantera1 [17]
36 + 2? is that what you want? 38 is the answer to that. maybe she forgot comas instead of to
7 0
3 years ago
Answer correct you get brainliest answer​
zloy xaker [14]

Answer:

y =  {x}^{2}  - 2

Or if you want with the value of h too.

y =  {(x - 0)}^{2}  - 2

Step-by-step explanation:

y = a {(x - h)}^{2}  + k

Find the value of h and k by using the formula.

h =  -  \frac{b}{2a}  \\ k =  \frac{4ac -  {b}^{2} }{4a}

From y = x²-2

a = 1 \\ b = 0 \\ c =  - 2

Substitute these values in the formula.

h =  -  \frac{0}{2(1)}  \\ h = 0

Therefore, h = 0.

k =  \frac{4(1)( - 2) -  {0}^{2} }{4(1)}  \\ k =  \frac{ - 8}{4}  \\ k =  - 2

Therefore, k = - 2.

From the vertex form, the vertex is at (h, k) = (0,-2). Substitute h = 0, a = 1 and k = -2 in the equation.

y = a {(x - h)}^{2}  + k \\ y = 1 {(x - 0)}^{2}  - 2 \\ y =  {(x)}^{2}  - 2 \\ y =  {x}^{2}  - 2

These type of equation where b = 0 can also be both standard and vertex form.

4 0
3 years ago
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