Answer:
2^3·2^2 = 2^3+2 = 2^5
Step-by-step explanation:
Diego was trying to write 2^3 · 2^2
He wrote 2^3·2^2 = 2^3*2 = 2^6
But this is wrong because when bases are same exponents are added.
This is the law of exponents.
The correct form would be
2^3·2^2 = 2^3+2 = 2^5
For understanding it better we can write it like this
2^3·2^2 =
There are 3 two and 2 twos .When totaled there are 5 two not 6 twos.
Answer:
9.8 Inch
Step-by-step explanation:
The distance from the upper left corner to the bottom right corner of the box is the longest diagonal of the box.
For a rectangular prism:
Length of the Longest diagonal 
Therefore:
Length of the pencil
Let the slower runners speed be X kilometers per hour.
Then the faster runners speed would be X+2 kilometers per hour.
The formula for distance is Speed times time.
The distance is given as 30 kilometers and time is given as 3 hours.
Since there are two runners you need to add the both of them together.
The equation becomes 30 = 3x + 3(x+2)
Now solve for x:
30 = 3x + 3(x+2)
Simplify:
30 = 3x + 3x +6
30 = 6x + 6
Subtract 6 from each side:
24 = 6x
Divide both sides by 6:
x = 24/6
x = 4
The slower runner ran at 4 kilometers per hour.
The faster runner ran at 4+2 = 6 kilometers per hour.
