Question
Using the Product Rule of Exponents, what is an equivalent form of 8^2⋅8^6?
Answers
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GPT 3.5
To simplify this expression using the Product Rule of Exponents, we need to add the exponents when multiplying powers of the same base.
The Product Rule of Exponents states that for any nonzero numbers "a" and "b", and any nonnegative integer "m":
a^m × a^n = a^(m + n)
In this case, we have 8^2 × 8^6. Since the base is the same (8), we can apply the Product Rule of Exponents and combine the exponents:
8^2 × 8^6 = 8^(2 + 6)
Simplifying the exponent, we have:
8^(2 + 6) = 8^8
Therefore, an equivalent form of 8^2 × 8^6 is 8^8.
The Product Rule of Exponents states that for any nonzero numbers "a" and "b", and any nonnegative integer "m":
a^m × a^n = a^(m + n)
In this case, we have 8^2 × 8^6. Since the base is the same (8), we can apply the Product Rule of Exponents and combine the exponents:
8^2 × 8^6 = 8^(2 + 6)
Simplifying the exponent, we have:
8^(2 + 6) = 8^8
Therefore, an equivalent form of 8^2 × 8^6 is 8^8.