When you multiply powers with the same base, you sum the exponents:
So, in this case, you have
Which expression is equivalent to...
1 answer:
Answer:
Step-by-step explanation:
Well we can simplify the numerator, by multiplying the 4 by the 6 and the m^3 and m^4 (add the exponents, explained in one of my previous answers I think)
This gives us the fraction:
We can now divide the m^7 by m^2 by subtracting the exponents, and the reason why this works, is you're simply cancelling out the m's, If we express this in expanded form we have the following fraction:
Since there is two m's in the denominator and there is also two (more than two) m's in the numerator, we can cancel those two m's out, and we get the fraction:
which can be simplified in exponent form as:
, now all we have to do is divide the 24 by the 3, to get 8
This gives us the answer:
You might be interested in
We can do this problem using two ways....
Let me show you both methods.
<u>Method 1: "Without using logs"</u>
Now, since both sides of the equation have same base and they equal each other, then their exponent must be equal to each other. So, we equal their exponents.
After equaling the exponents, we get,
Now,
<u>Method 2: "Using Logs"</u>
<u>So, either way we get x= 6</u>
Let me show you both methods.
<u>Method 1: "Without using logs"</u>
Now, since both sides of the equation have same base and they equal each other, then their exponent must be equal to each other. So, we equal their exponents.
After equaling the exponents, we get,
Now,
<u>Method 2: "Using Logs"</u>
<u>So, either way we get x= 6</u>