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3 years ago

Simplify (4x)^?4. Write your answer using only positive exponents. Evaluate any numerical powers. The solution is ?

1 answer:

4 0

ANSWER

$256 {x}^{4}$

EXPLANATION

The given expression is

${(4x)}^{4}$

Recall that,

${(ab)}^{m}={(a}^{m}{b}^{m})$

We apply this property to get,

$= ( {4}^{4} {x}^{4} )$

This simplifies to,

$= 256 {x}^{4}$

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Please Help! I need an explanation for how to do this... Step-by-step directions would be great!

spin [16.1K]

$\dfrac{8x^2y^2-4xy^2}{4xy}=\\
\dfrac{8x^2y^2}{4xy}-\dfrac{4xy^2}{4xy}=\\
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2 years ago

Show work and Factor 4x^2+xy-18y^2

grigory [225]

Answer:

$4x^2+xy-18y^2=(4x+9y)\,(x-2y)$

Step-by-step explanation:

Let's examine the following general product of two binomials with variables x and y in different terms:

$(ax+by)\,(cx+dy)= ac\,x^2+adxy+bcxy+bdy^2$

so we want the following to happen:

$a\,c = 4\\ad+bc=1\\bd--18$

Notice as well that $ad+bc =1$ means that those two products must differ in just one unit so, one of them has to be negative, or three of them negative. Given that the product $bd=-18$ , then we can consider the case in which one of this (b or d) is the negative factor. So let's then assume that $a\,\,and \,\,c$ are positive.

We can then try combinations for $a\,\,and \,\,c$ such as:

$a = 4;\,\,c=1\\a=2;\,\,c=2\\a=1;\,\,c=4$

Just by selecting the first one $(a=4;\,\,c=1)$

we get that $4d_b=1\\b=-4d-1$

and since

$bd=-18\\(-4d-1)\,d=-18\\-4d^2-d=-18\\4d^2+d-18=0$

This quadratic equation give as one of its solutions the integer: d = -2, and consequently,

$d=-18/(-2)\\d=9$

Now we have a good combination of parameters to render the factoring form of the original trinomial:

$a=4; \,\,b=9;\,\,c=1;\,\,d=-2$

which makes our factorization:

$(4x+9y)\,(x-2y)=4x^2+xy-18y^2$

6 0

3 years ago

Is 5x-7+3x and 3x-7+5x equivalent

pychu [463]

Answer:

yes

Step-by-step explanation:

5x-7+3x =8x-7

3x-7+5x=8x-7

6 0

3 years ago

Of 1. The book is on the

artcher [175]

Answer: I write more than one choice . The book is on the table , desk , bed , chair or shelf.

Step-by-step explanation: hope it helps

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2 years ago

Write an equation for the nth term of the arithmetic sequence. Then find a50.<br> 8, 2, -4, - 10,

AlexFokin [52]

Answer: See below

Explanation:

Write an equation for nth term:

a + d(n - 1)

a = 8 (first term)
d = -6 (common difference)

8 - 6(n - 1)
= 8 - 6n + 6
= -6n + 14

Find a 50:

-6(50) + 14
= -300 + 14
= -286

6 0

3 years ago