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3 years ago

What is the simplified value of the exponential expression 27 1/3

Mathematics

2 answers:

Leokris [45]3 years ago

6 0

Answer:

Step-by-step explanation:

Fraction exponents are equal to the x (the number that you get when you do the math needed)* root of the number being exponentiated.

$27^{1/3}$ = $\sqrt[3]{27}$ = 3

Explanation of math:

The top number of the fraction is the power and the bottom number is the root.

So $2^{3/5}$ would become $\sqrt[5]{2^{3}}$ or $\sqrt[5]{8}$

I'm always happy to help :)

denis23 [38]3 years ago

3 0

Answer:

Step-by-step explanation:

Simplify the expression

Cancel the common factor of 3

Evaluate the exponent

I hope this helped can I get brainliest please.....

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Read 2 more answers

When completing the square on the equation c2 + 110 = 12, the resulting solution is:<br> It

Delvig [45]

Answer:

$c=1$ and $c=-12$

Step-by-step explanation:

The correct equation is:

$c^2+11c=12$

To solve by completing the square method.

Solution:

We have:

$c^2+11c=12$

In order to solve by completing the square method we will carry out the following operations to the given equation to get a perfect square binomial.

We can write as:

$c^2+2.\frac{11}{2}c=12$

$c^2+2.\frac{11}{2}c+(\frac{11}{2})^2-(\frac{11}{2})^2=12$

$(c+\frac{11}{2})^2-(\frac{11}{2})^2=12$ [As $c^2+2.\frac{11}{2}c+(\frac{11}{2})^2=(c+\frac{11}{2})^2$ ]

Adding both sides by $(\frac{11}{2})^2$

$(c+\frac{11}{2})^2-(\frac{11}{2})^2+(\frac{11}{2})^2=12+(\frac{11}{2})^2$

$(c+\frac{11}{2})^2=12+\frac{121}{4}$

Taking LCD to add fraction.

$(c+\frac{11}{2})^2=\frac{48}{4}+\frac{121}{4}$

$(c+\frac{11}{2})^2=\frac{169}{4}$

Taking square root both sides.

$\sqrt{(c+\frac{11}{2})^2}=\sqrt{\frac{169}{4}}$

$c+\frac{11}{2}=\pm\frac{13}{2}$

Subtracting both sides by $\frac{11}{2}$ :

$c+\frac{11}{2}-\frac{11}{2}=\pm\frac{13}{2}-\frac{11}{2}$

$c=\pm\frac{13}{2}-\frac{11}{2}$

So, we have:

$c=\frac{13}{2}-\frac{11}{2}$ and $c=-\frac{13}{2}-\frac{11}{2}$

$c=\frac{2}{2}$ and $c=\frac{-24}{2}$

$c=1$ and $c=-12$ (Answer)

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4 years ago

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Triss [41]

Colleen says she is thinking of a 4 digit number in which all the digits are the same.

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Since, all the digits of a number are same.

Therefore, the number is 2222.

Now, we can expand 2222 = 2000+ 200 + 20 + 2

Hence, we can observe the relationship between the digits of the number that the number 2222 is expressed as the sum of the place value of each of the digit.

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4 years ago

What is the simplified value of the exponential expression 27 1/3​

What is the simplified value of the exponential expression 27 1/3