Question

find the missing value that makes the equation true 6^-5 × 6^? = 6^10

Answer 1

To solve this equation, we can use the rule of exponents that states: a^m × a^n = a^(m+n).

Let's use this rule to solve the equation:

6^-5 × 6^? = 6^10

Now we can combine the exponents on the left side using the rule:

6^-5 × 6^? = 6^-5+?

Since the bases are the same (6), the exponents must also be equal for the equation to be true. Therefore, we can set the exponents equal to each other:

-5 + ? = 10

To find the value of ?, we can solve this equation by isolating the variable:

? = 10 - (-5)
? = 15

So, the missing value that makes the equation true is 15.