Answer:
To find all the equivalent expressions to the given expression, we can simplify it step by step using the properties of exponents:
(18^5)^3/8
Step 1: Simplify the exponent inside the parentheses:
18^(5*3)/8
18^15/8
Step 2: Rewrite the exponent as a product of two exponents:
(18^15)^(1/8)
Step 3: Apply the property of taking the exponent of an exponent:
18^(15*(1/8))
Step 4: Simplify the exponent:
18^(15/8)
Therefore, the equivalent expressions to (18^5)^3/8 are:
(18^15)^(1/8)
18^(15*(1/8))
18^(15/8)
Explanation: