Question

What is the sign of
\[-4x\cdot y\cdot 0^6\] when
\[x\] and
\[y\] are positive numbers?
Choose 1 answer:
Choose 1 answer:
(Choice A) Positive
A
Positive
(Choice B) Negative
B
Negative
(Choice C) Zero
C
Zero

Answer 1

To determine the sign of the expression \(-4x\cdot y\cdot 0^6\), we first evaluate \(0^6\).

Since any non-zero number raised to a positive power is still zero, we see that:
\[
0^6 = 0.
\]

Now, substituting this back into the expression, we get:
\[
-4x\cdot y\cdot 0 = 0.
\]

No matter the values of \(x\) and \(y\) (as long as they are positive), multiplying by zero will always result in zero.

Therefore, the sign of the expression is:
\[
\text{(Choice C) Zero}.
\]