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

.(1 point)
−4(0) ⋅ 15=

1 answer

The Zero Power Rule of Integer Exponents states that any non-zero number raised to the power of zero is equal to 1. That is:

\[ a^0 = 1 \quad \text{for } a \neq 0 \]

In your expression, we have \(-4(0)\). Since \(0\) is being raised to any power, and it is the base itself that is zero, we should look at the overall expression.

  1. First, simplify \(-4(0)\): \[ -4(0) = 0 \]

  2. Now substitute back into your expression: \[ 0 \cdot 15 \]

  3. This simplifies to: \[ 0 \]

Thus, the final answer is: \[ −4(0) ⋅ 15 = 0 \]