We need to find the value of the missing exponent, denoted as "?", in the equation x^−8 * x^? = x^13.
To simplify the equation, we can use the exponent rule for multiplying powers with the same base. The rule states that when the base is the same, we add the exponents.
So, x^−8 * x^? can be rewritten as x^(-8 + ?).
Given that the equation is x^−8 * x^? = x^13, we can set the exponents equal:
-8 + ? = 13.
To isolate "?", we can solve for it by adding 8 to both sides of the equation:
? = 13 + 8.
Therefore, the missing value for "?" is 21.
Find the missing value for x^−8\cdotx^?= x^13
? =
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