All categories

3 years ago

Use exponent properties to simplify the following expression with a positive exponent.

Mathematics

1 answer:

Alecsey [184]3 years ago

3 0

$a^{-n}=\dfrac{1}{a^n}\\\\2^{-8}=\dfrac{1}{2^8}\\\\a^n\cdot a^m=a^{n+m}\\\\2^5\times2^1=2^{5+1}=2^6\\\\2^5\times2^{-8}\times2^1=\boxed{\dfrac{2^6}{2^8}}$

You might be interested in

What is the measure of angle R?

lakkis [162]

A 68 since it is an = triangle

6 0

3 years ago

Read 2 more answers

The table shows the number of coils in different lengths of a spring.The spring next to the table shows an example of a 2 inch s

Nastasia [14]

The answer is A: 1 coil in a spring that is 7 inches long

i am not sure so correct me if i am wrong

hope this helps

4 0

2 years ago

What is the answer to 4x-25+75

damaskus [11]

The answer is 4x + 50.

Step by Step: -25+75= 50
You can’t add or subtract a variable with a number.

4 0

2 years ago

Read 2 more answers

The diameter of a iron sphere is 8 cm. It is beaten and drawn into a wire with a diameter of 2 mm. Find the length of the wire.

djyliett [7]

Answer : The length of the wire is, 8533 cm

Step-by-step explanation :

As the iron sphere is beaten and drawn into a wire. That means, their volume will be equal.

Volume of iron sphere = Volume of cylindrical wire

The formula will be:

$\frac{4}{3}\pi r_1^3=\pi r_2^2h$

where,

$r_1$ = radius of sphere = $\frac{Diamtere}{2}=\frac{8cm}{2}=4cm$

$r_2$ = radius of cylindrical wire = $\frac{Diamtere}{2}=\frac{2mm}{2}=1mm=0.1cm$

h = height of cylindrical wire or length of wire

Now put all the given values in the above formula, we get:

$\frac{4}{3}\pi r_1^3=\pi r_2^2h$

$\frac{4}{3}\times r_1^3=r_2^2h$

$\frac{4}{3}\times (4)^3=(0.1)^2h$

$h=8533.33cm\approx 8533cm$

Therefore, the length of the wire is, 8533 cm

6 0

2 years ago

Pls answer this questionn plss ill mark u brainliest

DedPeter [7]

Okay so there are 100 white balloons, 200 pink balloons, and we are specified that the ratio of pink to yellow is 10:1 soo we can plug 200:20 which can be simplified to 100:10 which can then be simplified to 10:1 there is our ratio. So there are 29 yellow balloons. Therefore there are only 80 balloons left which would mean there are 80 blue balloons!:)

5 0

2 years ago