To write exponents using the same base in the given equation -3(10)^4-x - 4 = -91, we need to identify the base that is being raised to different exponents and make them equal.
1. Start by looking at the term (-3)(10)^(4-x). Here, the base is 10, but the exponents are 4 and x. To make them the same, we can rewrite the term using a common exponent.
2. Using the property of exponents, we can rewrite 10^(4-x) as 10^4 * 10^(-x). This step separates the exponents to show they have the same base of 10.
3. Therefore, the term becomes -3 * 10^4 * 10^(-x) - 4 = -91.
4. Now, we have the exponents as 4 and -x, both with the same base of 10.
5. By rearranging the equation, it becomes -3 * 10^4 * 10^(-x) = -91 + 4.
6. Simplify the equation further to get -3 * 10^4 * 10^(-x) = -87.
By following these steps, you can write exponents with the same base in the given equation.
