Two important rules:

ODD exponents preserve the sign of the base.
So, (NEGATIVE)^(ODD integer) = NEGATIVE
and (POSITIVE)^(ODD integer) = POSITIVE

An EVEN exponent always yields a positive result (unless the base = 0)
So, (NEGATIVE)^(EVEN integer) = POSITIVE
and (POSITIVE)^(EVEN integer) = POSITIVE
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Since 4n and 202 are both EVEN, we know that $(–1)^{4n}$ is POSITIVE, and $(–1)^{202}$ is POSITIVE

Since 3 and 5 are both ODD, we know that $(3)^{3}$ is POSITIVE, and $(-5)^{5}$ is NEGATIVE

We get:
Quantity A: (POSITIVE)(POSITIVE)
Quantity B: (POSITIVE)(NEGATIVE)

Simplify to get:
Quantity A: some POSITIVE number
Quantity B: some NEGATIVE number

Answer: A

Cheers,
Brent