Final answer:
The simplified value of the expression 2²*1/2⁵*2⁵*1/2²=2²/2²*2⁵/2⁵ is 1. Its solution involves simplifying the powers first, then substituting and simplifying the entire equation.
Step-by-step explanation:
The subject of this question is Mathematics, specific to the concept of simplifying expressions involving exponents. From the following expression 2²*1/2⁵*2⁵*1/2²=2²/2²*2⁵/2⁵, we need to simplify it using the rules of exponents, particularly focusing on the functions involving squaring of exponentials.
Let's break down the expression and simplify the powers first: 2² refers to 2*2 = 4, 2⁵ refers to 2 * 2 * 2 * 2 * 2 = 32. Also, note that 1/2⁵ = 1/32, and 1/2² = 1/4 . With these values, let's substitute and simplify the expression:
4 * 1/32 * 32 * 1/4. Due to mathematical rules, 1/32 * 32 equals 1, and 4 * 1/4 also equals 1. So, ultimately our expression equals 1 * 1 = 1.
Learn more about Simplifying Exponential Expressions