Find the missing value for 6^-8 x 6^? = 6^12
?=
To find the missing value, we can use the property of exponents which states that when multiplying two numbers with the same base, we can add their exponents.
So, using this property, we can write the equation as:
6^(-8) x 6^? = 6^12
Now, we need to combine the exponents on the left side of the equation. Adding -8 and ? gives us:
6^(-8 + ?) = 6^12
The two sides of the equation are equal only if the exponents are equal. So we can set -8 + ? = 12 and solve for the missing value:
-8 + ? = 12
Adding 8 to both sides:
? = 12 + 8
? = 20
Therefore, the missing value is 20.