Question

This question gets me confused everytime when I see this. It's called " Signs of Expressions challenge".
need help!!​

Answer 1

Answer:

Negative

Step-by-step explanation:

(-2)^4 will be positive because the exponent is even.

(-3)^7 will be negative because the exponent is odd.

An positive number times a negative number is negative, so we know the result will be negative.

Look at the attached image for further clarification.

Answer 2

Answer:

B. Negative

Step-by-step explanation:

$\text{Let}\ a<0\ (negative\ number).\\\\a^n>0\ \text{if}\ n\ \text{is even}\\\\a^n<0\ \text{if}\ n\ \text{is odd}\\\\\text{We know:}\\\\(-)(-)=(+)\\(-)(+)=(+)(-)=(-)\\(+)(+)=(+)\\==========================\\\\(-2)^4>0,\ \text{because}\ 4\ \text{is even}\\\\(-3)^7<0,\ \text{because 7 is odd}\\\\(-2)^4\cdot(-3)^7\to(+)(-)=(-)\to(-2)^4\cdot(-3)^7<0$