The given expression is (-3.4)⁰ (-3.41)⁰.
To find the result, we need to consider a basic rule of exponents, which is any non-zero number raised to the power of zero is 1.
Following this rule, in the given expression, (-3.4)⁰ becomes 1, because -3.4 is raised to the power of zero. The same rule applies to (-3.41)⁰, making it also 1.
So, (-3.4)⁰ (-3.41)⁰ = 1 * 1 = 1
Now, to find expressions equivalent to this, remember that the rule of exponents that we used can be applied to any non-zero number, so you can construct equivalent expressions just by replacing (-3.4) and (-3.41) with any non-zero numbers you want.
For our first equivalent expression, let's replace (-3.4) with (-2) and (-3.41) with (5):
(-2)⁰ * (5)⁰ = 1 * 1 = 1
For our second equivalent expression, we can replace (-3.4) and (-3.41) with any other non-zero numbers, like (-7.2) and (20.92):
(-7.2)⁰ * (20.92)⁰ = 1 * 1 = 1
So both (-2)⁰ * (5)⁰ and (-7.2)⁰ * (20.92)⁰ are expressions equivalent to (-3.4)⁰ * (-3.41)⁰ because they all simplify to 1, according to the rule of exponents cited above.