3 years ago

Which values are solutions to the inequality below?

Mathematics

1 answer:

balandron [24]3 years ago

7 0

X is all values greater than 16

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Which expression is equivalent to (16 x Superscript 8 Baseline y Superscript negative 12 Baseline) Superscript one-half?.

loris [4]

To solve the problem we must know the Basic Rules of Exponentiation.

<h2>Basic Rules of Exponentiation</h2>

$x^ax^b = x^{(a+b)}$
$\dfrac{x^a}{x^b} = x^{(a-b)}$
$(a^a)^b =x^{(a\times b)}$
$(xy)^a = x^ay^a$

$x^{\frac{3}{4}} = \sqrt[4]{x^3}= (\sqrt[3]{x})^4$

The solution of the expression is $\dfrac{4x^4}{y^6}$ .

<h2>Explanation</h2>

Given to us

$(16x^8y^{12})^{\frac{1}{2}}$

Solution

We know that 16 can be reduced to $2^4$ ,

$=(2^4x^8y^{12})^{\frac{1}{2}}$

Using identity $(xy)^a = x^ay^a$ ,

$=(2^4)^{\frac{1}{2}}(x^8)^{\frac{1}{2}}(y^{12})^{\frac{1}{2}}$

Using identity $(a^a)^b =x^{(a\times b)}$ ,

$=(2^{4\times \frac{1}{2}})\ (x^{8\times\frac{1}{2}})\ (y^{12\times{\frac{1}{2}}})$

Solving further

$=2^2x^4y^{-6}$

Using identity $\dfrac{x^a}{x^b} = x^{(a-b)}$ ,

$=\dfrac{2^2x^4}{y^6}$

$=\dfrac{4x^4}{y^6}$

Hence, the solution of the expression is $\dfrac{4x^4}{y^6}$ .

Learn more about Exponentiation:

brainly.com/question/2193820

8 0

2 years ago

Use the distributive property to write an equivalent expression.<br> 2(8v+2)

andreyandreev [35.5K]

Answer:

16v+4

Step-by-step explanation:

2(8v+2) = 16v+4

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1 year ago

Anser it and i'll give brainly, if you write anything and leave am gonna report you

aliina [53]

Answer:

5x2−9x=7 (Option B)

Step-by-step explanation:

this is correct 100%

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3 years ago

1) What is the volume of a figure with that is 3 inches wide, 5 inches tall and 8 inches long?

Romashka-Z-Leto [24]

The volume is 120 cubic inches.

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2 years ago

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liubo4ka [24]

Answer:

For an equal number of servings,the bananas will have three times as much sugar.

Step-by-step explanation:

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3 years ago