In set notation, the union of two sets means that we combine the values into one big set. Think of a marriage (which is a union of two people). If two people marry, then they combine their stuff into one big collection (the set of all their stuff). Any duplicate items are removed.
So we have A = {4, 6, 8} B = {3, 4, 7, 10}
which combine to this bigger set {4, 6, 8, 3, 4, 7, 10}
now toss out the duplicate item "4" to be left with {4, 6, 8, 3, 7, 10}
If you want, you can sort the values from smallest to largest: {3, 4, 6, 7, 8, 10}
So the answer is <span>{3, 4, 6, 7, 8, 10}
Note: the order of the set doesn't matter though it's handy to sort</span>
Equivalent expressions are simply known as expressions with the same solution but different arrangement.
Given the index expressions;
4^-5 • 3^-5
Using the exponent rule, the two values are have different bases but the same exponent and thus, we multiply the bases and leave the exponents the same way.
This can be written as;
4(3) ^ -5
expand the bracket
12^-5
Thus, the expression equivalent to 4^-5 • 3^-5 is 12^-5
