Final answer:
To simplify the expression (4^(-3)a^(0))/(b-7) and write the answer using only positive exponents, follow these steps: 1) Simplify each term separately, 2) Combine the simplified terms, 3) Write the final answer with positive exponents.
Step-by-step explanation:
To simplify the expression (4-3a0)/(b-7) and write the answer using only positive exponents, we need to simplify each term separately and then combine them.
First, let's simplify 4-3. Any number raised to the power of -n is equal to its reciprocal raised to the power of n. So, 4-3 can be written as 1/(43).
Next, a0 is equal to 1 because any number (except 0) raised to the power of 0 is 1.
Finally, we simplify (1/(43))/(b-7) to (1/64)/(b-7). This can be further simplified to 1/(64(b-7)). Therefore, the simplified expression with positive exponents is 1/(64(b-7)).