Can you please state the questions / problems or attach the image with the questions / problems so that we can answer it for you.
Applying the product rule of exponents, each product of powers are matched with its simplified expression as:
1. 
2. 
3. 
4. 
5. 
To multiply the powers having the same base, we will apply the product rule for exponents.
<h3>
What is the Product Rule for Exponents?</h3>
- Base on the product rule for exponents, we have,
. - In order to find the products of two given numbers that have the same base, the exponents would be added together.
1. 
Add the exponents together


2. 
Add the exponents together


3. 
Add the exponents together



4. 
Add the exponents together


5. 
Add the exponents together

In summary, applying the product rule of exponents, each product of powers are matched with its simplified expression as:
1. 
2. 
3. 
4. 
5. 
Learn more about product rule of exponents on:
brainly.com/question/847241
Answer:I think -0.4
Step-by-step explanation:
Answer:

Step-by-step explanation:
Here the given expression to us is ;
Recall that ,
On using this , we have ;
Simplify ,
The prime factorisation of 8 is 2³ . So ;
Simplify the square root ,
<u>H</u><u>e</u><u>n</u><u>c</u><u>e</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>r</u><u>e</u><u>q</u><u>u</u><u>i</u><u>r</u><u>e</u><u>d</u><u> </u><u>a</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u><u> </u><u>i</u><u>s</u><u> </u><u>2</u><u>y</u><u>²</u><u>√</u><u>{</u><u>2</u><u>y</u><u>}</u><u> </u><u>.</u>
Answer
Find out the how far into the country does he go.
To proof
Let us assume that the total diatance travelled into the country be x .
Formula

As given
A cyclist rides into the country at an average speed of 10 miles per hour. When his bicycle gets a flat tire,
he walks it back at an average speed of 3 miles per hour.
If he returns home 6 and a half hours after he starts i.e the total time including the bike time and walk time of the cyclist be 6.5 hours.
Than the equation becomes

L.C.M of (10,3) = 30
Than the equation becomes
3x +10x = 195
solving
13x = 195

x = 15 miles into the country
Hence proved