Final answer:
To find an equivalent expression for (5.6)^2 x, multiply (5.6)^2 by 1, as any number multiplied by 1 remains unchanged. Hence, the number to complete the equivalent expression is 1.
Step-by-step explanation:
The student's question is about finding an equivalent expression for the given mathematical expression (5.6)^2 x. The equivalent expression involves finding a number that when combined with the provided expression, results in a valid mathematical identity.
To solve this, we need to use the properties of exponents. Using the fact that squaring a number is equivalent to raising it to the power of 2, we have the following:
(5.6)^2 means 5.6 multiplied by itself (5.6 x 5.6).
If we want an expression equivalent to this, we might think about the identity factor of 1.
Thus:
(5.6)^2 x 1 = (5.6)^2
This is because any number or expression multiplied by 1 remains unchanged. The number that completes the equivalent expression is 1.