Apply the Zero Power Rule of Integer Exponents to solve −4^0⋅15

Question

.(1 point

Answer 1

The Zero Power Rule states that any non-zero number raised to the power of zero equals one. So, we can apply this rule to solve the expression \(-4^0 \cdot 15\).

First, we evaluate \(-4^0\):

\[ -4^0 = 1 \]

Now we can substitute this back into the expression:

\[ -4^0 \cdot 15 = 1 \cdot 15 \]

Finally, we calculate:

\[ 1 \cdot 15 = 15 \]

Thus, the answer to \(-4^0 \cdot 15\) is:

\[ \boxed{15} \]

Answer 2

not correct

Answer 3

I apologize for the confusion, and I appreciate your patience. The correct interpretation should take care to clarify the effect of the negative sign.

The expression is:

\[ -4^0 \cdot 15 \]

According to the rules of exponents, \(4^0\) equals 1, but \(-4^0\) is just the negative of that result:

\[-4^0 = -1\]

Now we evaluate the expression:

\[ -4^0 \cdot 15 = -1 \cdot 15 \]

Calculating this gives:

\[ -1 \cdot 15 = -15 \]

Thus, the correct answer is:

\[ \boxed{-15} \]