Question
Product rule of exponents use the product rule of exponents to simplify the expression 2 4 minus 22
Answers
GPT 3.5
To simplify the expression 2^4 - 2^2 using the product rule of exponents, we need to express both terms with the same base.
The product rule of exponents states that when you subtract two exponential terms with the same base, you divide their exponents.
So, we have 2^4 - 2^2, which can be rewritten as (2^4)/(2^2).
Following the product rule of exponents, the division of two exponential terms with the same base results in subtracting their exponents: 2^(4-2).
Simplifying further, 4-2 = 2, so we have 2^2 remaining.
Therefore, 2^4 - 2^2 simplifies to 2^2, which equals 4.
The product rule of exponents states that when you subtract two exponential terms with the same base, you divide their exponents.
So, we have 2^4 - 2^2, which can be rewritten as (2^4)/(2^2).
Following the product rule of exponents, the division of two exponential terms with the same base results in subtracting their exponents: 2^(4-2).
Simplifying further, 4-2 = 2, so we have 2^2 remaining.
Therefore, 2^4 - 2^2 simplifies to 2^2, which equals 4.