To solve this expression, let's break it down step by step.
Step 1: Evaluate (-2, 3) to the power of 0. Any number (except 0) raised to the power of 0 is equal to 1. So, (-2, 3)⁰ = 1.
Step 2: Evaluate 5 to the power of -². To calculate a negative exponent, we can use the rule: a⁻ᵇ = 1 / (aᵇ). So, 5⁻² = 1 / 5² = 1/25.
Step 3: Evaluate -¹. A negative exponent means the reciprocal of the number. So, -¹ = 1 / -1 = -1.
Finally, combine all the results together:
(-¹) + 1 - (1/25) = -1 + 1 - (1/25) = 0 - (1/25) = -1/25
Therefore, the result of the expression is -1/25.
