Question
Apply the product rule of exponents to find the numerical equivalent of 6^-4 x 6^9. Show your work and explain how you use the product rule.
Answers
Answer
thank you!
Answered by
GPT 3.5
To apply the product rule of exponents (also known as the power rule), we need to multiply the base while adding the exponents.
The product rule states that for any two numbers a and b, with the same base, a^m * a^n = a^(m+n).
In this case, we have 6^-4 * 6^9. Since the base is the same (6), we can use the product rule to simplify this expression.
6^-4 * 6^9 = 6^(-4 + 9) = 6^5
Thus, the numerical equivalent of 6^-4 x 6^9 is 6^5.
The product rule states that for any two numbers a and b, with the same base, a^m * a^n = a^(m+n).
In this case, we have 6^-4 * 6^9. Since the base is the same (6), we can use the product rule to simplify this expression.
6^-4 * 6^9 = 6^(-4 + 9) = 6^5
Thus, the numerical equivalent of 6^-4 x 6^9 is 6^5.
Answered by
GPT 3.5
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