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Naily [24]
3 years ago
12

Which could be the first step in simplifying this expression? Check all that apply. (x^3x^-6)^2

Mathematics
1 answer:
allsm [11]3 years ago
3 0
If the expression is what I understand it is, this is my answer. (x to the third times x to the negative sixth all squared)

First, i would simplify what is inside the parentheses. x^-6 is the equivalent to
1/x^6. Therefore, the expression inside the parentheses is a fraction: x^3/x^6.

When dividing numbers with exponents, just subtract the exponents. 
3-6= -3     so the simplification of the expression in the parentheses is 1/x^3.

To finish the problem, I would apply the square from outside the parentheses to the values inside them. In this way, the exponent would be multiplied by 2.

Our final answer is 1/x^6.
You might be interested in
Find the formula for an exponential function that passes through the two points give.
Ksenya-84 [330]

Answer:

y=3(2)^{x}

Step-by-step explanation:

Given.

Two points are given.

(x, y)=(-1,\frac{3}{2}) and (x, y)=(3,24)

An exponential function is in the general form.

y=a(b)^{x}-------(1)

We know the points  (-1,\frac{3}{2}) and (3,24)

put the first point value in equation 1

\frac{3}{2}=a(b)^{-1}

\frac{3}{2}=\frac{a}{b}

a=\frac{3}{2}\times b--------(2)

put the second point value in equation 1

24=a(b)^{3}----------(3)

Put the a value from equation 2 to equation 3

24=\frac{3}{2}\times b(b)^{3}

b^{3+1}=\frac{24\times 2}{3}

b^{4} = 16\\b=\sqrt[4]{16} \\b=2

Put the b value in equation 2

a=\frac{3}{2}\times 2

a=3

Put the a and b value in equation 1

y=3(2)^{x}

So, the exponential function that passes through the points  (-1,\frac{3}{2}) and (3,24)) are y=3(2)^{x}.

6 0
3 years ago
I'm stuck, plsss help ASAPP!!! :))
Bogdan [553]

Answer:

15 units

Step-by-step explanation:

d \:  =  \sqrt{(x2 - x1) ^{2}  + (y2 - y1) ^{2} }

d = 14.866

d = 15

7 0
3 years ago
PLEASE HELP!!! NO BOTS!! solve for x​
Vesnalui [34]

Answer:

/2=1.41

/5=2.24

(a)^2+(b)^2=(c)^2

(1.41)^2+(b)^2=(2.24)^2

2+(b)^2=5

(b)^2=5-2

(b)^2=3

b=/3 or 1.73

Step-by-step explanation:

for a triangle, a missing value of the side can be found using pythagorean theorem which is (a)^2+(b)^2=(c)^2

replace it with the given value.

*note:(c)^2 should be the hypotenuse

inverse of +ve is -ve

inverse of square is square root

7 0
3 years ago
Given the line 2x - 3y - 5 = 0, find the slope of a line that is perpendicular to this line.
mojhsa [17]
The Slope of "<span>2x - 3y - 5 = 0" is:

m = 2/3.

Use the mx+y formula to solve this question.  

The correct answer is: B 

This is a verified answer.  </span>
3 0
3 years ago
Read 2 more answers
Pls help
Bezzdna [24]

Answer:

Your answer is A.

5 0
2 years ago
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