Simplify this expression using the Quotient Rule of Integer Exponents: 12 ^ 53 / (7 ^ 53) (1 point) 5 ^ 53; 12 ^ 53 / (7 ^ 53); 12 ^ 106; 5 ^ 106
The expression can be simplified as: 12 ^ 53 / (7 ^ 53) =
(12 / 7) ^ 53 =
(1.7142857142857142) ^ 53 ≈ 403.42878596
So, the simplified expression is 403.42878596.
To simplify the expression using the Quotient Rule of Integer Exponents, we can subtract the exponents in the numerator from the exponents in the denominator.
12^53 / 7^53 = (12/7)^53
Thus, the simplified expression is (12/7)^53.
To simplify the given expression using the Quotient Rule of Integer Exponents, we need to apply the rule which states that when dividing two numbers with the same base, we subtract the exponents.
In this case, we have 12 ^ 53 divided by 7 ^ 53. Since both bases are the same, which is 12, and the exponents are the same, which is 53, we can apply the Quotient Rule and subtract the exponents:
12 ^ 53 / 7 ^ 53 = 12^(53 - 53) = 12^0
According to the Zero Exponent Rule, any number (except 0) raised to the power of 0 is equal to 1. Therefore, our simplified expression is:
12 ^ 53 / 7 ^ 53 = 1