7 to the power of - 2
_______________________
7 to the power of - 4
could you show me how you get 49 as the naswer...the long line shows that you need to divide both of them
If you see a negative exponent in the numerator, it is the reciprocal of the number without the negative sign in the exponent. Namely:
A-b = 1/Ab
or
1/A-b = Ab
Therefore
7-2 / 7-4
=74 / 72
=?
To solve this problem, we need to simplify the expression:
7^(-2) / 7^(-4)
To divide two numbers with the same base but different exponents, we subtract the exponents:
7^(-2 - (-4))
First, let's simplify the exponents:
7^(-2 + 4)
Now, add the exponents:
7^2
This means we need to multiply 7 by itself:
7 * 7
Which equals:
49
So, 7^(-2) / 7^(-4) simplifies to 49.