All categories

3 years ago

Simplify the expression. Write your answer as a power. (-3)^4/(-3)^1

Mathematics

1 answer:

ELEN [110]3 years ago

5 0

Step-by-step explanation:

Simplify the following:

(((-3)/4)^5)^2

Multiply exponents. (((-3)/4)^5)^2 = ((-3)/4)^(5×2):

((-3)/4)^(5×2)

5×2 = 10:

((-3)/4)^10

((-3)/4)^10 = (-3)^10/4^10:

(-3)^10/4^10

(-3)^10 = (-1)^10×3^10 = 1×3^10:

3^10/4^10

4^10 = (4^5)^2 = (4×4^4)^2 = (4 (4^2)^2)^2:

3^10/(4 (4^2)^2)^2

4^2 = 16:

3^10/(4×16^2)^2

3^10/(4×256)^2

4×256 = 1024:

3^10/1024^2

3^10/1048576

Answer=3^10 / 2^20

You might be interested in

Please view picture. Also please tell mehow you got the answer

Cerrena [4.2K]

Have a look at the image attachment. I've added the points A, B, C, D such that
A = base of the diving board pole, or location of the pool deck
B = the location 1.6 meters directly above point A
C = location of the person's eyes
D = diving board location
The goal is to find the length of segment AD

We are given
AB = 1.6
BC = 3.67
what we want to find is
BD = x

Due to the fact we have similar right triangles ABC and CBD, we can form the proportion below and solve for x
AB/BC = BC/BD
1.6/3.67 = 3.67/x
1.6*x = 3.67*3.67
1.6*x = 13.4689
1.6*x/1.6 = 13.4689/1.6
x = 8.4180625

So BD is 8.4180625 meters
Use this to find the length of AD
AD = AB + BD
AD = 1.6 + 8.4180625
AD = 10.0180625
which rounds to 10.0 meters when rounding to the nearest tenth (one decimal place)

------------------------------------------------------------------------------------------

Answer: choice D) 10.0 m

7 0

3 years ago

Can u help me understand this and solve it im so confused

kaheart [24]

Answer:

what is the topic?

Step-by-step explanation:

3 0

2 years ago

WILL MARK BRAINLIEST !!!<br> find the indicated value for each of the figures shown or described

timama [110]

Answer:

10. 9

In the first question we can solve using the Pythagorean theorem. It states that the hypotenuse in a right triangle or the longest side of the triangle, squared is equal to the other 2 sides, squared. Its expressed as so: C^2 = A^2 + b^2 where c is the hypotenuse and a and b are the other sides oft eh triangle.

Therefore,

15^2 = 12^2+x^2

225=144+x^2

81=x^2

x=9

__________________________________________________________

11. x=12

In this figure, there are 2 right triangles on the sides of the square. If we can find the lengths of the base of both triangles then we can find x using the Pythagorean theorem. the total base is 21 and the square is 11. 11+a+b=21. We can assume that both triangles are congruent and therefore we can solve this equation:

11+a+b=21

a+b=10

5+5=10

b=5

a=5

The bases of the two triangles are 5 and the hypotenuse is 13. Now we can solve using the Pythagorean theorem:

c^2 = a^2+b^2

13^2=5^2+x^2

169=25+x^2

144=x^2

144= 12 x 12

x=12

__________________________________________________________

12.

The diagnol of a triangle is the hypotenuse and since the length is the square root of 3, we have all the information we need.

c^2 = a^2+b^2

2^2 = (square root of 3)^2+b^2

4=3+b^2

1=b^2

b=1

Step-by-step explanation:

6 0

2 years ago

In one game, the final score was Falcons 3, Hawks 1. What fraction and

dlinn [17]

Step-by-step explanation:

3over4 which is 75percent

4 0

2 years ago

What do u do this please explain

Aneli [31]

Its blurry cant help sorry

5 0

3 years ago

Read 2 more answers

Simplify the expression. Write your answer as a power. (-3)^4/(-3)^1​

Simplify the expression. Write your answer as a power. (-3)^4/(-3)^1