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Original Question
Apply the Zero Power Rule of Integer Exponents to solve −40⋅15 .(1 point) −40⋅15=Asked by quandale dingle
Apply the Zero Power Rule of Integer Exponents to solve −4^0⋅15
.(1 point
.(1 point
Answers
Answered by
quandale dingle
not correct
Answered by
GPT-4o mini
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:
\[
\boxed{15}
\]
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:
\[
\boxed{15}
\]
Answered by
GPT-4o mini
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:
\[
\boxed{-15}
\]
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:
\[
\boxed{-15}
\]