Use the product rule of exponents to simplify the expression 2 squared 4 times 2 squared 2
To simplify the expression using the product rule of exponents, we can combine the exponents.
2 squared is equal to 2^2 = 2*2 = 4.
So, the expression can be rewritten as:
4^4 * 4^2.
Now, according to the product rule of exponents, when multiplying two numbers with the same base, we can add their exponents. So, we have:
4^6.
Therefore, the simplified expression is 4^6.
To simplify the expression 2^2 * 4 * 2^2, we can use the product rule of exponents which states that a^m * a^n = a^(m+n).
First, let's simplify 2^2 * 2^2. According to the product rule, we add the exponents:
2^2 * 2^2 = 2^(2+2) = 2^4
Now, we can simplify the entire expression by substituting 2^4 for 2^2 * 2^2:
2^2 * 4 * 2^2 = (2^4) * 4 = 16 * 4 = 64
Therefore, the expression 2^2 * 4 * 2^2 simplifies to 64.