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tia_tia [17]
3 years ago
14

{6} }" alt="\sqrt[6]{27x^{3}y^{6} }" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
bekas [8.4K]3 years ago
3 0

Answer:

\large\boxed{\sqrt[6]{27x^3y^6}=y\sqrt{3x}}

Step-by-step explanation:

\sqrt[6]{27x^3y^6}\qquad\text{use}\ \sqrt[n]{ab}=\sqrt[n]{a}\cdot\sqrt[n]{b}\\\\=\sqrt[6]{3^3}\cdot\sqrt[6]{x^3}\cdot\sqrt[6]{y^6}\qquad\text{use}\ \sqrt[n]{a^m}=a^\frac{m}{n}\\\\=3^\frac{3}{6}\cdot x^\frac{3}{6}\cdot y^\frac{6}{6}\qquad\text{simplify}\\\\=3^\frac{1}{2}\cdot x^\frac{1}{2}\cdot y^1\qquad\text{use}\ (ab)^n=a^n\cdot b^n\\\\=(3x)^\frac{1}{2}\cdot y\\\\=y\sqrt{3x}

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Question Solve. 2 1/3−1/2x=−2/3 Enter your answer in the box.
Tcecarenko [31]

2/3 - 1/2x = -2/3 then the value of x is 6 .

The algebraic expression should often take one of the following forms: addition, subtraction, multiplication, or division. Bring the variable to the left and the remaining values to the right to determine the value of x. To determine the outcome, simplify the values.

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given equation is

2/3 - 1/2x = -2/3

⇒7/3-x/2 = -2/3

⇒7/3+ 2/3 =x/2

⇒9/3 = x/2

⇒ x=3 x 2

⇒ x=6

therefore the value of the x is 6

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6 0
2 years ago
Mr. Selan loves the 99-cent menu at Wendy's (sadly prices went up a few years ago). He used to buy two chicken sandwich at 99-ce
iogann1982 [59]

Answer:

Mr. Selan would pay $2.15 for the sandwiches with tax.

Step-by-step explanation:

Given that:

Cost of each sandwich = 99 cents

Cost of two sandwiches = 99*2 = 198 cents

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4 0
3 years ago
Is there's a multiple of 1/6 between 3/6 and 4/6?
irina [24]
Lets find that out writing equations and solving them, a multiple of 1/6 is something like this (1/6)x, so we have
(1/6)x > 3/6
and
<span>(1/6)y < 4/6
</span>lets solve both equations:
<span>(1/6)x > 3/6
</span>x > 6(3/6)
x > 3

<span>(1/6)y < 4/6
</span>y < 6(4/6)
y < 4

So the number must be between 3 and 4, which is obvious, lets try with 3.5 then, that is 3 5/10 or 35/10 = 7/2 in fractional form, and lets try it out:
(1/6)(7/2) = 7/12
finally we compare with the original fractions:
1/6 < 7/12
2/12 < 7/12
So, it comply with being greater than 1/6, now lets compare with 4/6
7/12 < 4/6
<span>7/12 < 8/12
</span>therefore is also smaller than 4/6 and hence 7/12 is a multiple of 1/6 between 3/6 and 4/6
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4 years ago
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