All categories

3 years ago

Simplify.11^10/11^3 x 11^5

Mathematics

2 answers:

MrRa [10]3 years ago

7 0

Answer:19487171x161051

=19487171x161051

Step-by-step explanation:

Goryan [66]3 years ago

5 0

Answer:

11^12 = 3,138,428,376,721

Step-by-step explanation:

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

(a^b)/(a^c) = a^(b-c)

$\dfrac{11^{10}}{11^3}\cdot 11^5=11^{10-3+5}=\boxed{11^{12}=3\,138\,428\,376\,721}$

You might be interested in

Use Lagrange multipliers to find the maximum and minimum values of

marusya05 [52]

The Lagrangian is

$L(x,y,\lambda)=x+8y+\lambda(x^2+y^2-4)$

It has critical points where the first order derivatives vanish:

$L_x=1+2\lambda x=0\implies\lambda=-\dfrac1{2x}$

$L_y=8+2\lambda y=0\implies\lambda=-\dfrac4y$

$L_\lambda=x^2+y^2-4=0$

From the first two equations we get

$-\dfrac1{2x}=-\dfrac4y\implies y=8x$

Then

$x^2+y^2=65x^2=4\implies x=\pm\dfrac2{\sqrt{65}}\implies y=\pm\dfrac{16}{\sqrt{65}}$

At these critical points, we have

$f\left(\dfrac2{\sqrt{65}},\dfrac{16}{\sqrt{65}}\right)=2\sqrt{65}\approx16.125$ (maximum)

$f\left(-\dfrac2{\sqrt{65}},-\dfrac{16}{\sqrt{65}}\right)=-2\sqrt{65}\approx-16.125$ (minimum)

5 0

3 years ago

Answer the questions about the dot and box plot.

ivanzaharov [21]

Answer:

a. 104

b. 102, 104, and 105

Step-by-step explanation:

a. There are 13 data points plotted on the dot line. The median lies between the 6th and 7th data point.

Thus, on the dot line, the 6th and 7th data points both fall on 104.

Therefore, median = 104

b. The dot plot shows the high temperatures that occurred more than one day are:

102, 104, and 105

5 0

3 years ago

After paying eight dollars for the pie, Mike has eighty - one dollars left, his friend has thirteen dollars. How much money did

Inessa [10]

Answer:

__ - 8=81

unsure if we're adding his friend but for this i assume no,

81+ 8 = 89

so its either 89 or

89+13=102

7 0

3 years ago

What is the slope of a line that is perpendicular to the graph of y=-3x?

lutik1710 [3]

<span>y=-3x has slope = -3
</span><span>
perpendicular lines, slope is opposite and reciprocal
so slope of </span>perpendicular = 1/3

answer
1/3

5 0

3 years ago

A circle has a diameter of 22 cm. What is its circumference?

charle [14.2K]

Answer:

$\boxed {\tt 69.08 \ centimeters}$

Step-by-step explanation:

The circumference of a circle can be found using the following formula:

$c= \pi d$

where d is the diameter. We know the diameter of the circle is 22 centimeters. Substitute the value in for d.

$d= 22 \ cm$

$c= \pi* 22 \ cm$

We also know we are using 3.14 for pi. Substitute it in for pi.

$c= 3.14 * 22 \ cm$

Multiply.

$c=69.08 \ cm$

The circumference of the circle is 69.08 centimeters.

8 0

3 years ago

Read 2 more answers