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andreev551 [17]
3 years ago
8

(01.03 MC) Which of the following is a step in simplifying the expression (Xy^4/x^-5y^5)^3

Mathematics
1 answer:
Sati [7]3 years ago
4 0

\displaystyle\tt\left(\frac{xy^4}{x^{-5}y^5}\right)^{-3} =\frac{x^{-3}y^{4\cdot(-3)}}{x^{-5\cdot(-3)}y^{5\cdot(-3)}}=\boxed{\tt\frac{x^{-3}y^{-12}}{x^{15}y^{-15}}}

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How do I solve this question
nika2105 [10]

Answer:

D

Step-by-step explanation:

Sum = -12

Product = -48

Factors = -12 , 4

-12 + 4 = - 8  & -12 * 4 = -48

x² - 8x - 48 = x² - 12x + 4x  - 4*12

                  = x(x - 12) + 4(x - 12)

                 = (x - 12) (x + 4)

5 0
2 years ago
Exponents represent repeated:
Molodets [167]

Answer:

An expression that represents repeated multiplication of the same factor is called a power. The number 5 is called the base, and the number 2 is called the exponent. The exponent corresponds to the number of times the base is used as a factor.

Step-by-step explanation:

6 0
3 years ago
If two lines never intersect when graphed. Which of the following best describe the number of solution to this system of linear
serg [7]

Think of when If you cross two lines you get a point where they meet

A point is a solution.

So if the lines never cross, then they would have no point, or A, No Solution

3 0
3 years ago
What is the exact circumference of a circle with a radius of 12 inches?
Anestetic [448]
We can get the circumference of any circle in terms of the radius with this formula. C = 2\pir.

Where r is the radius of the circle.

And we will use 3.14 for \pi.

Plug in all the values.

C = 2 * 3.14 * 2

C = 12.56

So, the circumference of the circle is 12.6 inches when rounded to the nearest tenth.
8 0
3 years ago
Read 2 more answers
Help! what is the surface area of the prism? 128in^2, 768in^2, 384in^2, or 480in^2
Nimfa-mama [501]

Option C: 384 \ in^2 is the surface area of the prism

Explanation:

Given figure is a triangular prism.

We need to determine the surface area of the triangular prism.

The formula to find the surface area of the triangular prism is given by

S A=b h+(s 1+s 2+s 3) H

where b is the base of the triangle,

h is the height of the triangle,

s1,s2,s3 are the three sides of the triangle and

H is the height of the prism.

Let us substitute the values b=16 , h=6 , s1=16 , s2=10 , s3=10 and H=8 in the formula, we get,

SA=16(6)+(16+10+10)(8)

Simplifying, we get,

SA=96+(36)(8)

Multiplying the term, we get,

SA=96+288

Adding the terms, we have,

SA=384 \ in^2

Thus, the surface area of the prism is 384 \ in^2

Hence, Option C is the correct answer.

6 0
3 years ago
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