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Which expression is equivalent to (m^8n^−4)^14 ?

umka2103 [35]

Which expression is equivalent to $(m^8\times n^-4)^ 1/4$

Answer:

m^2/n

Step-by-step explanation:

Given.

I assume this is your expression:

The expression is $=(m^{8} \times n^{-4} )^{\frac{1}{4} }$

Now simplify the expression by multiplying the power.

$=(m^{8\times \frac{1}{4}} \times n^{-4\times \frac{1}{4}}} )$

$=(m^{2} \times n^{-1} )$

$=\frac{m^{2}}{n}$

So, the expression is equivalent to $\frac{m^{2}}{n}$

6 0

3 years ago

What is the behavior of the graph y=x4−2x3−11x2+12x+36 at each of its zeros?

Evgen [1.6K]

The behavior sees the leading coefficient is already positive, then increasing the size of the inputs will simply result in the leading term being even more positively skewed. The line on the graph will start to slope to the right.

<h3>What is the behavior of the graph y=x4−2x3−11x2+12x+36 at each of its zeros?</h3>

The behavior of the graph of the polynomial function f(x) as the variable x approaches either positive or negative infinity represents the end behavior of the function. The final behavior of a polynomial function's graph is determined by the degree of the function as well as the leading coefficient.

Generally, the equation for is zeros mathematically given as

y=x^4−2x^3−11x^2+12x+36

Therefore

(x+2)^2(x-3)^2=0

x=-2

x=3

since the graph attached has a positive leading coefficient and a positive degree

In conclusion, If the leading coefficient is already positive, then increasing the size of the inputs will simply result in the leading term being even more positively skewed. The line on the graph will start to slope to the right.

Read more about graph

brainly.com/question/16608196

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4 0

1 year ago

Josh runs 3 miles in 25 minutes. At the same rate, how many miles would he run in 20 minutes?

LUCKY_DIMON [66]

Answer:

Cross Multiplying to solve

60/25 = x = 2.4mi

Step-by-step explanation:

$\frac{3}{25} *\frac{x}{20}$

4 0

2 years ago

Read 2 more answers

Which of the following represents a quadratic function?

Lubov Fominskaja [6]

<u>Answer:</u>

○ $y = 6 + 5x + x^2$

<u>Explanation:</u>

<h3>What is a quadratic equation?</h3>

A quadratic equation is an algebraic equation where the highest power of $x$ is 2. The general form of a quadratic equation is as follows:

$\boxed{ax^2 + bx + c = 0}$ ,

where <em>a</em>, <em>b</em>, and <em>c</em> represent known constants, and $x$ is the unknown.

In this question, if you take a look at the second option, you will see that it is possible to rearrange the equation to make it look the general form:

$y = 6 + 5x + x^2$

⇒ $y = x^2 + 5x + 6$