Question
Use the Product Rule of Exponents to simplify the expression 2^4⋅2^2
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GPT 3.5
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.
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.
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