Why can't you use the product of powers rule to simplify this expression? Explain. 3^4 * 2^8

Mathematics

1 answer:

yarga [219]4 years ago

4 0

Answer:

Both expressions have different base.

Step-by-step explanation:

Product rule can only be use for the similar bases. For example 2² × 2⁴ have the same base.

For this question, 3⁴ × 2⁸ have different bases which is 3 and 2.

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Sammy and David were selling water bottles to raise money for new football uniforms famous or 5 water bottles for every 3 water

ANTONII [103]

In the given question, we come to know that Sammy sold 5 bottles for every 3 water bottles sold by David. In this case we get the ratio as 5:3
Now this ratio indicates that the total number of bottles can be divided into 8 parts for finding out a single part. the total number of water bottles that are sold by Sammy and David together are 160.
Now on dividing this total number of bottles by 8 we get the 20 as one part.
The,
Number of Bottles sold by Sammy = 5 * 20
= 100
Number of bottles sold by David = 3 * 20
= 60
So Sammy sold 100 water bottles and David sold 60 water bottles from the total of 160 water bottles.

8 0

4 years ago

The distance from Earth to the sun is about 9.3 × 10 7th power miles.

AURORKA [14]

Answer:

The distance from earth to sun is 387.5 times greater than distance from earth to moon.

Solution:

Given, the distance from Earth to the sun is about $9.3 \times 10^{7} \mathrm{miles}$

The distance from Earth to the Moon is about $2.4 \times 10^{5} \mathrm{miles}$

We have to find how many times greater is the distance from Earth to the Sun than Earth to the Moon?

For that, we just have to divide the distance between earth and sun with distance between earth to moon.

Let the factor by which distance is greater be d.

$\text { Now, } \mathrm{d}=\frac{\text { distance between sun and earth }}{\text { distance between moon and earth }}=\frac{9.3 \times 10^{7}}{2.4 \times 10^{5}}=\frac{9.3}{2.4} \times 10^{7-5}\\\\=3.875 \times 10^{2}=387.5$