Which exponent makes the following statement true?
1/8^6 = 8^?
−6
−1/6
6
1/6
To determine which exponent makes the statement true, we can simplify both sides of the equation.
1/8^6 can be simplified to 1/262,144.
8^? can be simplified to 8 raised to the power of ?.
To make the statement true, we need to find a value for ? that makes the two sides of the equation equal.
1/262,144 = 8^?
To simplify further, we can write 1/262,144 as 1/(8^6).
So, the equation becomes:
1/(8^6) = 8^?
To make the equation true, the exponents on both sides must cancel each other out. Therefore, ? must be equal to -6.
Thus, the correct exponent to make the statement true is -6.