Assuming that none of the solutions are undefined,simplify each of the following.
23. A^2mB^m+1/A^mB
24.(A^2B^3/c)^0
To simplify each of the given expressions, we need to follow certain rules of exponentiation. Let's break down each expression step by step:
23. A^2mB^m+1/A^mB
To simplify this expression, we can use the rule that when dividing two numbers with the same base, we subtract the exponents. Additionally, when we have a power raised to another power, we can multiply the exponents. Let's apply these rules:
= A^2m * B^(m+1) / A^m * B
Now, let's simplify this expression using the rules mentioned above:
= A^(2m - m) * B^(m + 1 - 1)
= A^m * B^m
Therefore, the simplified expression is A^m * B^m.
24. (A^2B^3/c)^0
To simplify this expression, we use the rule that any term or number raised to the power of zero is always equal to 1. Therefore:
= 1
Thus, the simplified expression is 1.