Use the Product Rule of Exponents to simplify the expression 2^4⋅2^2

Answer 1

The Product Rule of Exponents states that for any positive numbers a and b, and any integers m and n, a^m * a^n = a^(m+n).

Applying the Product Rule to the expression 2^4 * 2^2, we add the exponents 4 and 2 to get:
2^(4+2)

Simplifying further, 4+2 equals 6, so we have:
2^6

Therefore, 2^4 * 2^2 simplifies to 2^6.