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rodikova [14]
3 years ago
11

Evaluate this exponential expression (27/8)^ 4/3 A: 9/2 B: 4/3 C: 81/16

Mathematics
1 answer:
valkas [14]3 years ago
7 0

\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \left( \cfrac{27}{8} \right)^{\frac{4}{3}}\implies \left( \cfrac{3^3}{2^3} \right)^{\frac{4}{3}}\implies \left( \cfrac{3^{3\cdot \frac{4}{3}}}{2^{3\cdot \frac{4}{3}}} \right)\implies \cfrac{3^4}{2^4}\implies \cfrac{81}{16}

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Which of the following cannot be solved using the quadratic formula?
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Answer:

C

Step-by-step explanation:

Quadratic formula is used only to solve the quadratic equations .

Means the equation of the form

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In this the x^2 part is must because that only makes the equation a quadratic.

Looking at the four options given to you , only the option C has the missing x^2 term, which makes it a linear equation and hence the quadratic formula cannot be applied there .

So the right option for your question with the quadratic formula is

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7 0
3 years ago
Write the equation of a circle with a center at (-2, 3) and a radius of 4.
Ivan

Answer:

The equation of a circle:

(x+2)^2+(y-3)^2 = 16

Step-by-step explanation:

The equation of a circle:

(x-h)^2+(y-k)^2 = r^2

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-Since you already have the center and the radius, use them for the equation of a circle:

Center: (-2,3)

Radius: 4

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After you have the equation of a circle, simplify the radius by the exponent 2 :

(x+2)^2+(y-3)^2 = 16

So, you have found the equation of a circle.

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