Write the value of the expression 3^3/3^6

Mathematics

1 answer:

scZoUnD [109]3 years ago

6 0

Answer:

When dividing two values with the same base, we simply subtract the first exponent by the second and keep the original base. 3^3-6=3^-3. This equals out to be 1/27.

Step-by-step explanation:

You might be interested in

A restaurant offers

Neporo4naja [7]

63 two-course meals can be made.

7 0

3 years ago

Ex 4.8 14) integrate 3^(2x-1)

sesenic [268]

Take the integral:

$\large\begin{array}{l} \mathsf{\displaystyle\int\!3^{2x-1}\,dx}\\\\ =\mathsf{\displaystyle\int\!\frac{1}{2}\cdot 2\cdot 3^{2x-1}\,dx}\\\\ =\mathsf{\displaystyle\frac{1}{2}\int\!3^{2x-1}\cdot 2\,dx\qquad(i)} \end{array}$

$\large\begin{array}{l} \textsf{Substitute}\\\\ \mathsf{2x-1=u\quad\Rightarrow\quad 2\,dx=du}\\\\\\ \textsf{so (i) becomes}\\\\ =\mathsf{\displaystyle\frac{1}{2}\int\!3^u\,du}\\\\ =\mathsf{\dfrac{1}{2}\cdot \dfrac{1}{\ell n\,3}\,3^u+C}\\\\ =\mathsf{\dfrac{1}{2\,\ell n\,3}\,3^{2x-1}+C} \end{array}$

$\large\begin{array}{l} \boxed{\begin{array}{c}\mathsf{\displaystyle\int\!3^{2x-1}\,dx=\frac{1}{2\,\ell n\,3}\,3^{2x-1}+C} \end{array}}\qquad\checkmark \end{array}$

If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2154165

$\large\textsf{I hope it helps. :-)}$


Tags: integrate indefinite integral substitution exponential base logarithm log ln composite integral calculus

4 0

3 years ago

Determine the surface of the cover of a textbook that has a length of 11 inches, a width of 8 inches, and a height of 3 inches.

Ronch [10]

The answer is 264 inches when you use

the formula L × W × H which is 11 × 8 ×

3 = 264 inches

7 0

3 years ago

First question, Deangelo babysits for his neighbor. Over a two week long time, he babysits 3.8 hours the first week and 5.25 hou

weeeeeb [17]

Don't you just add, though?

3.8 + 5.25 = 9.05 hours?

7 0

2 years ago

How do I solve the literal equation 6=mx+b for x? Did not learn this in school as I was absent for two weeks.

NeX [460]

6= mx+b
6-b=mx
x=(6-b)/m
hope you understand

3 0

2 years ago