To solve for the missing number, we can use the property of exponentiation that states:
7^a / 7^b = 7^(a - b).
In this case, the given expression is:
7^? / 7^5 = 7^12.
Using the aforementioned property, we can rewrite the expression as:
7^(? - 5) = 7^12.
To make the bases on both sides of the equation the same, we know that the exponents must also be equal. Therefore:
? - 5 = 12.
Adding 5 to both sides of the equation:
? = 12 + 5.
Simplifying:
? = 17.
Therefore, the missing number in the simplified exponential expression is 17.
what is the missing number in this simplified exponential expression: 7^? divided by 7^5 = 7^12???
3 answers
are you sure?
Apologies for the incorrect response earlier. Let's correct the solution.
To solve for the missing number, we can use the property of exponentiation that states:
a^m / a^n = a^(m - n).
In this case, the given expression is:
7^? / 7^5 = 7^12.
Using the aforementioned property, we can rewrite the expression as:
7^(? - 5) = 7^12.
For the bases on both sides of the equation to be equal, we must have the exponents also equal. Therefore:
? - 5 = 12.
Adding 5 to both sides of the equation:
? = 12 + 5.
Simplifying:
? = 17.
Thus, the missing number in the simplified exponential expression is indeed 17. Apologies for the confusion caused earlier.
To solve for the missing number, we can use the property of exponentiation that states:
a^m / a^n = a^(m - n).
In this case, the given expression is:
7^? / 7^5 = 7^12.
Using the aforementioned property, we can rewrite the expression as:
7^(? - 5) = 7^12.
For the bases on both sides of the equation to be equal, we must have the exponents also equal. Therefore:
? - 5 = 12.
Adding 5 to both sides of the equation:
? = 12 + 5.
Simplifying:
? = 17.
Thus, the missing number in the simplified exponential expression is indeed 17. Apologies for the confusion caused earlier.
1 answer