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Stella [2.4K]
3 years ago
13

Simplify the radical . 9d2 81d3 9d3 9d6

Mathematics
1 answer:
Gnoma [55]3 years ago
6 0

Given:

Consider the given radical expression is:

\sqrt{81x^6}

To find:

The simplified form of the given expression.

Solution:

We have,

\sqrt{81x^6}

It can be written as:

\sqrt{81x^6}=\sqrt{9^2(x^3)^2}

\sqrt{81x^6}=\sqrt{(9x^3)^2}            [\because (ab)^n=a^nb^n]

\sqrt{81x^6}=9x^3

Therefore, the correct option is C.

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How many solutions does the system of equations below have?y = -10x + 7/3y = -10x + 1/10No solutionOne solutionInfinitely many s
Mekhanik [1.2K]

We re-write the system of equations by using the fact that we need the y-values to be the same, so we equal them:

- 10 x + 7/3 = - 10 x + 1/10

We notice then, as we try to solve for the one unknown left (x), that as we add 10 x on both sides of our new equation, all the terms in "x" go away, as shown below:

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combine like terms:

7/3 = 1/10

so we notice we have ended up with a ridiculous solution, a statement that tells us that 7/3 equals 1/10 which is mathematically a FALSE statement. Therefore, we conclude that the system has NO solutions, given that there are no possible x or y values that can ever produce a logical answer.

We select therefore the option No solution, among the list of answers.

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