Which of the following shows the correct process of solving -4 and parentheses 3+12 super squid 0+15 super script zero by generating an equivalent expression using the zero power rule what is the answer?

1 answer

To solve the expression \(-4(3 + 12^{0} + 15^{0})\) using the zero power rule, we first need to evaluate the terms inside the parentheses. The zero power rule states that any non-zero number raised to the power of zero equals one, i.e., \(x^0 = 1\) for any \(x \neq 0\).

  1. Evaluate \(12^0\): \[ 12^0 = 1 \]

  2. Evaluate \(15^0\): \[ 15^0 = 1 \]

Now we can substitute these values back into the expression inside the parentheses:

\[ 3 + 12^{0} + 15^{0} = 3 + 1 + 1 = 5 \]

Next, we substitute this value back into the expression:

\[ -4(3 + 12^{0} + 15^{0}) = -4(5) \]

Finally, we calculate \(-4 \times 5\):

\[ -4 \times 5 = -20 \]

Thus, the final answer is:

\[ \boxed{-20} \]