+23247 Since you have x^12, take the 12th root of each side:
(x^12) ^ (1/12) = (2^18) ^ (1/12)
When you have an exponent to an exponent (a power to a power), multiply them:
12 * 1/12 = 1 and 18 * 1/12 = 18/12 = 3/2 = 1 + 1/2
So, you get: x^1 = 2^(3/2) which is x = 2^(3/2) = 2√2.
How to reduce: 2^(3/2):
2^(3/2) = 2^(1 + 1/2)
To multiply numbers with the same base, you add their exponents; also, if you have a problem with exponents are added, the problem can be split into two numbers that are added.
So, 2^(1 + 1/2) = (2^1) · (2 ^ (1/2) )
2^1 = 2 and 2 ^ (1/2) = √2
The final answer is x = 2√2.
+23247 Since you have x^12, take the 12th root of each side:
(x^12) ^ (1/12) = (2^18) ^ (1/12)
When you have an exponent to an exponent (a power to a power), multiply them:
12 * 1/12 = 1 and 18 * 1/12 = 18/12 = 3/2 = 1 + 1/2
So, you get: x^1 = 2^(3/2) which is x = 2^(3/2) = 2√2.
How to reduce: 2^(3/2):
2^(3/2) = 2^(1 + 1/2)
To multiply numbers with the same base, you add their exponents; also, if you have a problem with exponents are added, the problem can be split into two numbers that are added.
So, 2^(1 + 1/2) = (2^1) · (2 ^ (1/2) )
2^1 = 2 and 2 ^ (1/2) = √2
The final answer is x = 2√2.
