Answer:
The value of k in the equation 27√3 = 3ᵏ is 3.
Explanation:
To determine the value of k in the equation 27√3 = 3ᵏ, we can simplify the left side of the equation first.
Since 27 is equal to 3 raised to the power of 3 (3³), we can rewrite the equation as:
3³√3 = 3ᵏ.
Now, since the bases on both sides of the equation are the same (3), we can equate the exponents:
3³ = k.
Therefore, k is equal to 3.
To summarize:
- The value of k in the equation 27√3 = 3ᵏ is 3.