Complete the table for each of the expressions choose which exponent rule has been used to simplify
It seems that the expressions and the table are missing from your question. Could you please provide the expressions so that I can assist you in completing the table?
I will need the expressions to complete the table. Please provide the expressions along with the available exponent rules.
To complete the table for each expression and determine which exponent rule has been used to simplify, we need to understand the different exponent rules. Here are the key exponent rules:
1. Product Rule: When multiplying two terms with the same base, add the exponents. (a^m) * (a^n) = a^(m + n)
2. Quotient Rule: When dividing two terms with the same base, subtract the exponents. (a^m) / (a^n) = a^(m - n)
3. Power Rule: When raising a power to another power, multiply the exponents. (a^m)^n = a^(m * n)
4. Zero Rule: Any non-zero number raised to the power of zero is equal to 1. a^0 = 1
5. Negative Rule: a^(-n) = 1 / a^n
To determine which rule has been used, we can analyze the given expressions and look for patterns.
Here is the table:
Expression | Simplified Form | Exponent Rule Used
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1. a^3 * a^4 | a^(3 + 4) = a^7 | Product Rule
2. (a^5)^2 | a^(5 * 2) = a^10 | Power Rule
3. a^7 / a^3 | a^(7 - 3) = a^4 | Quotient Rule
4. b^0 | b^0 = 1 | Zero Rule
5. (c^2)^(-3) | c^(2 * -3) = c^-6 | Power and Negative Rules