What is the missing exponent in the following equation? s500s?=s175 Note: only type the exponent in the box, do not include any variables. Show your work. (1 point)

Answer 1

To solve for the missing exponent in the equation \( s^{500} s^? = s^{175} \), we can use the property of exponents that states when multiplying like bases, we add the exponents.

The equation can be rewritten as: \[ s^{500 + ?} = s^{175} \]

Since the bases are the same, we can set the exponents equal to each other: \[ 500 + ? = 175 \]

Now, to find the missing exponent (represented as ?), we will solve for ?: \[ ? = 175 - 500 \] \[ ? = -325 \]

Therefore, the missing exponent is: \[ \boxed{-325} \]