Simplify the expression. (−2g5h2)5

1 answer:

4 0

I am sure you are trying to type

$( - 2 {g}^{5} {h}^{2} {)}^{5}$
If that is it, then you should recall the law of exponents which says,

$({a}^{m} {)}^{n} = {a}^{mn}$
Let us share the exponent for each of them.

$( - 2 {g}^{5} {h}^{2} {)}^{5} = ( { - 2)}^{5} ( { {g}^{5}) }^{5} ( { {h}^{2}) }^{5}$
We now apply the law,

$( - 2 {g}^{5} {h}^{2} {)}^{5} = ( { - 2)}^{5} ( { {g}^{5 \: \times 5}) }^{} ( { {h}^{2 \times 5}) }^{}$
We now simplify to obtain,

$( - 2 {g}^{5} {h}^{2} {)}^{5} = -32 {g}^{25} {h}^{10}$

If that is not the expression let me know so I will know how to help you

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Mrac [35]

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3 years ago

A gardener has 640 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it doe

kari74 [83]

9514 1404 393

Answer:

160 ft (out from the river)
320 ft (parallel to the river)

Step-by-step explanation:

Let x represent the length of fence parallel to the river. Then the dimension of perpendicular to the river will be half the remaining fence: (640-x)/2. The total area will be ...

A = x(640-x)/2

This is the equation of a parabola that opens downward. It has zeros at x=0 and x=640, so its axis of symmetry is x = (0+640)/2 = 320. That is, the peak of the area curve is found when x=320.

The dimensions of the garden with the largest area are 160 ft wide by 320 ft long, where the long side is the river side.