6^-5 x 6^?=6^10
Find the missing number
To find the missing number, we need to first simplify the left side of the equation.
6^-5 can be written as 1/6^5, since a negative exponent means taking the reciprocal.
So, the equation becomes:
(1/6^5) x 6^? = 6^10
Now, multiply the two terms on the left side:
(1/6^5) x 6^? = 1/6^(5-?) = 6^10
Since we want the bases to be equal, we can set the exponents equal to each other:
5 - ? = 10
Subtract 5 from both sides:
-? = 5
And multiply both sides by -1:
? = -5
Therefore, the missing number is -5.