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Dafna1 [17]
2 years ago
14

The circumference of a circle is 53.38 centimeters.

Mathematics
1 answer:
vfiekz [6]2 years ago
6 0
The area would be 226.75
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What is the following quotient? StartFraction 6 minus 3 (RootIndex 3 StartRoot 6 EndRoot) Over RootIndex 3 StartRoot 9 EndRoot E
Bezzdna [24]

Exponent properties help us to simplify the powers of expressions.  The quotient of the given expression \dfrac{6 - 3(\sqrt[3]{6})}{\sqrt[3]{9}} is (2∛3 - ∛18).

<h3>What are the basic exponent properties?</h3>

{a^m} \cdot {a^n} = a^{(m+n)}\\\\\dfrac{a^m}{a^n} = a^{(m-n)}\\\\\sqrt[m]{a^n} = a^{\frac{n}{m}}\\\\(a^m)^n = a^{m\times n}\\\\(m\times n)^a = m^a\times n^a\\\\

Given to us

\dfrac{6 - 3(\sqrt[3]{6})}{\sqrt[3]{9}}

We will solve the problem using the basic exponential properties,

\dfrac{6 - 3(\sqrt[3]{6})}{\sqrt[3]{9}}\\\\ = \dfrac{6}{\sqrt[3]{9}} - \dfrac{3(\sqrt[3]{6})}{\sqrt[3]{9}}\\\\ = (6\cdot 3^{-\frac{2}{3}}) - [3 \cdot (2 \cdot 3)^{-\frac{2}{3}}3^{-\frac{2}{3}}]\\\\= (2 \cdot 3 \cdot 3^{-\frac{2}{3}}) - [3 \cdot 2^{-\frac{2}{3}} \cdot 3^{-\frac{2}{3}}3^{-\frac{2}{3}}]\\\\

= [2 \cdot 3^{(1-\frac{2}{3})}] - [2^{\frac{1}{3}}\cdot 3^{(1+\frac{1}{3} - \frac{2}{3})}]\\\\=  [2 \cdot 3^{(\frac{1}{3})}] - [2^{\frac{1}{3}}\cdot 3^{(\frac{2}{3})}]\\\\= 2\sqrt[3]{3} - \sqrt[3]{2}\sqrt[3]{9}\\\\=2\sqrt[3]{3} - \sqrt[3]{18}

Hence, the quotient of the given expression \dfrac{6 - 3(\sqrt[3]{6})}{\sqrt[3]{9}} is (2∛3 - ∛18).

Learn more about Exponents:

brainly.com/question/5497425

4 0
2 years ago
Please Help!
kolbaska11 [484]

Answer:

The fully factored form is 3(x^2 - 7))

Step-by-step explanation:

The only thing you can do with this equation is take out a factor of 3. You cannot simplify the resulting parenthesis without using irrational numbers.

3 0
3 years ago
Read 2 more answers
Find the value of y and measure of m&lt;3
ArbitrLikvidat [17]
I think it is 97°. If not Sorry that I gave you the wrong answer but I'm pretty sure that's the answer.
5 0
3 years ago
Answeerrrrr!!!!!!!!!!!!!!!!!!!
faust18 [17]

Answer:

i belive it is A (2x)2/3

Step-by-step explanation:

3 0
3 years ago
What is the area of the triangular base?
Ludmilka [50]

Answer:

90cm2

Step-by-step explanation:

1/2x base x height.

1/2 x10 x 18

90cm2

4 0
2 years ago
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