Simplify x675/x453
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Apologies for the incorrect response again.
To simplify the expression x675/x453, we can use the property of division of exponents:
x675 / x453 = x^(675-453)
Simplifying the exponent:
x^(675-453) = x^222
Therefore, the simplified expression is x^222.
To find the missing exponent, we can use the rule of division with exponents. According to this rule, when dividing two exponential terms with the same base, we subtract the exponents.
In this case, we have:
e^?/e^65 = e^38
Using the division rule, we subtract the exponents:
e^(? - 65) = e^38
To make the exponents equal on both sides, we can set ? - 65 equal to 38:
? - 65 = 38
By adding 65 to both sides of the equation, we can solve for ?:
? = 38 + 65
Therefore, the missing exponent is 38 + 65 = 103.
Simplify 13^12÷13^−10
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To simplify 13^12 ÷ 13^(-10), we can use the rule of division with exponents. According to this rule, when dividing exponential terms with the same base, we subtract the exponents.
In this case, we have:
13^12 ÷ 13^(-10)
Using the division rule, we subtract the exponents:
13^(12 - (-10))
Simplifying the exponent:
13^22
Therefore, the simplified expression is 13^22.
To simplify the expression t^400 / t^100 using the Quotient Rule of Integer Exponents, we subtract the exponents:
t^(400 - 100) = t^300
Therefore, the simplified expression is t^300.
To simplify the expression a67b34, we cannot make any further simplification without knowing the specific operations or rules that apply to a and b. We could have any combination of operations or numerical values for a and b, so we cannot provide a simplified result. The expression remains as a67b34.
To simplify the expression 2365 ÷ 2332 using the Quotient Rule of Integer Exponents, we subtract the exponents:
23^(65 - 32) = 23^33
Therefore, the simplified expression is 23^33.
Apologies for the previous incorrect response.
To simplify the expression 12^53 ÷ 7^53 using the Quotient Rule of Integer Exponents, we subtract the exponents:
12^53 ÷ 7^53 = (12/7)^53
Therefore, the simplified expression is (12/7)^53.
The expression can be simplified as follows:
x675 / x453 = (x * 675) / (x * 453)
Since both the numerator and denominator contain a factor of x, we can cancel them out:
(x * 675) / (x * 453) = 675 / 453
The simplified expression is 675 / 453.