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.
Simplify x675/x453
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21 answers
wrong
Apologies for the incorrect response.
To simplify the expression x675/x453, we can divide both the numerator and denominator by the greatest common divisor (GCD) of 675 and 453 in order to reduce the fraction.
The GCD of 675 and 453 is 9. Therefore, we can divide both numbers by 9:
675 / 9 = 75
453 / 9 = 50
So, x675/x453 simplifies to 75/50.
However, we can still simplify this fraction further by dividing both numerator and denominator by the GCD of 75 and 50, which is 25:
75 / 25 = 3
50 / 25 = 2
Therefore, x675/x453 simplifies to 3/2.
To simplify the expression x675/x453, we can divide both the numerator and denominator by the greatest common divisor (GCD) of 675 and 453 in order to reduce the fraction.
The GCD of 675 and 453 is 9. Therefore, we can divide both numbers by 9:
675 / 9 = 75
453 / 9 = 50
So, x675/x453 simplifies to 75/50.
However, we can still simplify this fraction further by dividing both numerator and denominator by the GCD of 75 and 50, which is 25:
75 / 25 = 3
50 / 25 = 2
Therefore, x675/x453 simplifies to 3/2.
wrong agian
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 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.
What is the missing exponent in the following equation?
e^?/e^65 = e^38
e^?/e^65 = e^38
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.
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.
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.
Simplify this expression using the Quotient Rule of Integer Exponents: t400/t100.(1 point)
Responses
300
300
t^500
t^4
t^300
Responses
300
300
t^500
t^4
t^300
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.
t^(400 - 100) = t^300
Therefore, the simplified expression is t^300.
Simplify a67b34.(1 point)
Responses
ab33
a b superscript 33 baseline
a67b34
Start Fraction a superscript 67 baseline over b superscript 34 baseline End Fraction
23
23
a33
Responses
ab33
a b superscript 33 baseline
a67b34
Start Fraction a superscript 67 baseline over b superscript 34 baseline End Fraction
23
23
a33
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.
Apply the Quotient Rule of Integer Exponents to simplify 2365÷2332.(1 point)
Responses
97
97
2397
23 superscript 97 baseline
2333
23 superscript 33 baseline
133
Responses
97
97
2397
23 superscript 97 baseline
2333
23 superscript 33 baseline
133
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.
23^(65 - 32) = 23^33
Therefore, the simplified expression is 23^33.
Simplify this expression using the Quotient Rule of Integer Exponents: 1253÷753.(1 point)
Responses
1253÷753
12 superscript 53 baseline divided by 7 superscript 53 baseline
553
5 superscript 53 baseline
12106
12 superscript 106 baseline
5106
5 superscript 106 baseline
Responses
1253÷753
12 superscript 53 baseline divided by 7 superscript 53 baseline
553
5 superscript 53 baseline
12106
12 superscript 106 baseline
5106
5 superscript 106 baseline
To simplify the expression 1253 ÷ 753 using the Quotient Rule of Integer Exponents, we subtract the exponents:
12^(53 - 53) ÷ 7^(53 - 53)
Since both exponents are the same, they cancel out:
1 ÷ 1 = 1
Therefore, the simplified expression is 1.
12^(53 - 53) ÷ 7^(53 - 53)
Since both exponents are the same, they cancel out:
1 ÷ 1 = 1
Therefore, the simplified expression is 1.
Simplify this expression using the Quotient Rule of Integer Exponents: 12^53÷7^53.(1 point)
Responses
12^53÷7^53
5^53
12^106
5^106
Responses
12^53÷7^53
5^53
12^106
5^106
To simplify the expression 12^53 ÷ 7^53 using the Quotient Rule of Integer Exponents, we subtract the exponents:
12^(53 - 53) ÷ 7^(53 - 53)
Since both exponents are the same, they cancel out:
1 ÷ 1 = 1
Therefore, the simplified expression is 1.
12^(53 - 53) ÷ 7^(53 - 53)
Since both exponents are the same, they cancel out:
1 ÷ 1 = 1
Therefore, the simplified expression is 1.
wrong again.
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.
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.
1 answer