Simplify the following and leave your answer in exponential form. (Example: write 525^25
2
not 252525 ). Click Here for Help Video
7197−9\frac{7^{19}}{7^{-9}}
7
−9
7
19
When dividing with the same base, you subtract the exponents. Therefore, the expression can be simplified as:
7^19 * 7^9
Adding the exponents together:
7^(19+9)
Simplifying further:
7^28
To simplify the expression 7197−9\frac{7^{19}}{7^{-9}} , we can use the rules of exponents.
First, let's simplify the division of exponents. When dividing with the same base, we subtract the exponents. So, dividing 7^19 by 7^-9 gives us 7^(19-(-9)).
Next, we can simplify the exponent by subtracting the exponents: 7^(19-(-9)) = 7^(19+9) = 7^28.
Therefore, the simplified expression is 7^28.