Zero Power Rule of Exponents Practice
Math 8 Q1 (Pre-Algebra) / Exponent Rules
Apply the Zero Power Rule of Integer Exponents to solve −4^0 ⋅ 15. (1 point)
no
To apply the Zero Power Rule of Integer Exponents, we need to know that any non-zero number raised to the power of zero is equal to 1.
In this problem, we have -4^0 ⋅ 15. Since -4^0 equals 1, we can rewrite the expression as (1) ⋅ 15.
Multiplying 1 by 15 gives us the final answer of 15.
Therefore, -4^0 ⋅ 15 = 15.
To apply the Zero Power Rule of Exponents, you need to understand what the rule states. The Zero Power Rule states that any non-zero base raised to the power of zero equals 1. Therefore, any expression that has a base raised to the power of zero will simplify to 1.
In the given problem, the expression is −4^0⋅15. Let's break it down step by step.
Step 1: Apply the Zero Power Rule.
Since the base is -4 and it is raised to the power of zero, we can apply the Zero Power Rule. This means that -4^0 simplifies to 1.
Step 2: Evaluate the expression.
After applying the Zero Power Rule, we have 1⋅15. This is a simple multiplication problem, where 1 multiplied by any number would yield that same number. Therefore, 1⋅15 equals 15.
So, the answer to the given problem −4^0⋅15 is 15.
According to the Zero Power Rule of Integer Exponents, any base raised to the power of 0 equals 1. Therefore, -4^0 = 1.
Now, we can solve the equation: -4^0 * 15 = 1 * 15 = 15.
So, -4^0 * 15 equals 15.