All categories

3 years ago

Simplify. Rewrite the expression in the form of 5^n. What is 5^-5\5^8.

Mathematics

2 answers:

iris [78.8K]3 years ago

7 0

Remember that $\frac{x^m}{x^n}=x^{m-n}$

so
$\frac{5^{-5}}{5^8}=5^{-5-8}=5^{-13}$

masya89 [10]3 years ago

3 0

$\cfrac{5^{-5}}{5^8} =5^{-5-8}=5^{-13}$

You might be interested in

Which of the following could be points on the unit circle: A. (4/3, 4/5) B. (5/13, 12/13)

IRINA_888 [86]

Answer:

Option (2) and (4) are correct.

$(\frac{5}{13},\frac{12}{13} )$ and $(\frac{6}{7},\frac{\sqrt{13}}{7} )$ are points on the unit circle.

Step-by-step explanation:

Given : Some points of circles.

We have to choose which points could be points on the unit circle.

We know, the equation of circle is

$x^2+y^2=r^2$ ..........(1)

where r is radius of circle.

We check each point for x and y values on the equation of circle and see which point gives radius = 1

Thus,

1) $(\frac{4}{3},\frac{4}{5} )$

Put in LHS of (1) , we have,

$(\frac{4}{3})^2+(\frac{4}{5})^2$

Simplify, we have,

$=\frac{16}{9}+\frac{16}{25}$

$=\frac{544}{225}\neq 1$

Thus, $(\frac{4}{3},\frac{4}{5} )$ is not a point on the unit circle.

2) $(\frac{5}{13},\frac{12}{13} )$

Put in LHS of (1) , we have,

$(\frac{5}{13})^2+(\frac{12}{13})^2$

Simplify, we have,

$=\frac{25}{169}+\frac{144}{169}$

$=\frac{169}{169}= 1$

Thus, $(\frac{5}{13},\frac{12}{13} )$ is a point on the unit circle.

3) $(\frac{1}{3},\frac{2}{3} )$

Put in LHS of (1) , we have,

$(\frac{1}{3})^2+(\frac{2}{3})^2$

Simplify, we have,

$=\frac{1}{9}+\frac{4}{9}$

$=\frac{5}{9}\neq 1$

Thus, $(\frac{1}{3},\frac{2}{3} )$ is not a point on the unit circle.

4) $(\frac{6}{7},\frac{\sqrt{13}}{7} )$

Put in LHS of (1) , we have,

$(\frac{6}{7})^2+(\frac{\sqrt{13}}{7})^2$

Simplify, we have,

$=\frac{36}{49}+\frac{13}{49}$

$=\frac{49}{49}= 1$

Thus, $(\frac{6}{7},\frac{\sqrt{13}}{7} )$ is a point on the unit circle.

Thus, $(\frac{5}{13},\frac{12}{13} )$ and $(\frac{6}{7},\frac{\sqrt{13}}{7} )$ are points on the unit circle.

3 0

3 years ago

Read 2 more answers

Find the measure of angle A

blagie [28]

Answer:

43°

Step-by-step explanation:

(x + 53)° + (x + 74)° + 73° = 180°

(x + 53 + x + 74)° = 180° - 73°

(2x + 127)° = 107°

2x + 127 = 107

2x = 107 - 127

2x = - 20

x = - 20/2

x = - 10

$m\angle A = (x +53)\degree \\\\m\angle A = (-10 +53)\degree \\\\m\angle A = 43\degree \\\\$

4 0

3 years ago

How many 3s must be multiplied together for the product to be a number between 200 and 300? Help Please

KiRa [710]

Answer:

Step-by-step explanation:

3 times 3 times 3 times 3 times 3 = 243

243 is between 200 and 300

4 0

2 years ago

Read 2 more answers

Jeffrey is using a copy machine to make posters for a school play. The machine prints the posters at a constant rate. After 3 mi

My name is Ann [436]

I think the copy machine makes 36 posters per minute so making 396 posters would take 11 minutes

7 0

3 years ago

Which is the volume of the rectangular prism?

USPshnik [31]

The answer is d. 120

6 0

3 years ago