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2 years ago

Use the properties of exponents to simplify the expression

Mathematics

1 answer:

ExtremeBDS [4]2 years ago

8 0

Option B is correct after applying the property of integer exponent and simplification.

<h3>What is an integer exponent?</h3>

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

We have:

$=\rm (x.x^{-3}.y^{\dfrac{1}{3}})^2$

$=\rm (x^{-2}.y^{\dfrac{1}{3}})^2\\\\=\rm (x^{-4}.y^{\dfrac{2}{3}})\\\\=\rm \dfrac{y^{\dfrac{2}{3}}}{x^{4}}\\\\$

Thus, option B is correct after applying the property of integer exponent and simplification.

Learn more about the integer exponent here:

brainly.com/question/4533599

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Xelga [282]

Amswer

it is b Step-by-step explanation:

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2 years ago

Sorry it’s hard to read but I need help please and thank u so much for ur help

mixer [17]

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then multipling by 8 to make the hours =1
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3 years ago

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Molodets [167]

A postulate isn't required to be proven

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3 years ago

X^2 - y^2 = 100

luda_lava [24]

Answer:

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

$x+y=5$

Subtract y from both sides:

$x=5-y$

Now, substitute "5-y" for "x" in the first equation:

$(5-y)^2-y^2=100$

Note that:

$(a-b)^2=a^2-2ab+b^2$

$25-10y+y^2-y^2=100$

Cancel out like terms:

$25-10y=100$

Subtract 25 from both sides:

$-10y=75$

Divide both sides by -10

$y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}$

Now, substitute this value back into either of the equations to solve for x.

$x+y=5\\x-\frac{15}{2}=5\\$

Add 15/2 to both sides:

$x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}$

Now, find the difference:

$x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20$

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2 years ago

Sarah is collecting recyclables for a science project. on the first day she collects 35 recyclable objects. on the second day sh

Svet_ta [14]

The scneario here expressed is an aritmetic sequence because it can be explained like this:

a1=35
an=an−1+17

So all the variables can fit in and will be better explained than a geometric sequence in which you need a common ratio and that is not needed in this case

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3 years ago

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