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Tia went home and said to her mom,"I learned that 10 to the power of 4 is the same as 40,000."
Tia made a mistake in her thinking. Exponent represents the number of zeros.
means we multiply 10 four times
For exponent 4, we put 4 zeros. So answer is 10,000.
Let's do 51 and 52.
51. The contrapositive has the same truth value as the original statement. That's opposed to the converse, which may or may not be true independent of the original statement.
The contrapositive of IF P THEN Q is IF not Q THEN not P. They're equivalent. Here that's If the cat is not female then it is not tricolor.
Answer: C
52.
For the statement to be true, the exponent must be zero:
Both positive 2 and negative 2 have a square of 4.
Answer: K
By the way, usually we assume so the restriction that
isn't really necessary. Think of the definition of a polynomial or the binomial expansion:
For these common equalities to work when we need to define