The missing exponent is ². 1/64} = 1/8²
The Breakdown
We can rewrite 1/8 as 8-¹ since 8-¹ is the reciprocal of 8.
So, the equation becomes:
1/64 = 8-¹?
To simplify the equation, we can apply the exponent rule for raising a power to a power. According to this rule, when we raise a power to another power, we multiply the exponents.
Therefore, 8-¹? simplifies to 8^?
Now, the equation becomes:
1/64} = 8?
To solve for the missing exponent, we can equate the bases on both sides of the equation. The base is 8.
8^? = 8-²
Since the bases are the same, the exponents must be equal.
? = -²
Solving for (?), we multiply both sides by -1:
(? = 2)
Therefore, the missing exponent is 2.
So, the equation can be written as:
1/64} = 1/8²