What is the missing exponent in the following equation?
e?\e65 = e38
23 answers
The missing exponent is 27.
incorrect
Apologies for the incorrect response.
The missing exponent in the equation e?/e65 = e38 is -27.
The missing exponent in the equation e?/e65 = e38 is -27.
it still incorrect
Apologies for the incorrect response again.
The correct missing exponent in the equation e?/e65 = e38 is -3.
The correct missing exponent in the equation e?/e65 = e38 is -3.
What is the missing exponent in the following equation?
e^?\e^65 = e^38
e^?\e^65 = e^38
To find the missing exponent in the equation e^? / e^65 = e^38, we can use the power rule of exponents. According to the rule, when dividing two exponential expressions with the same base, we subtract the exponents.
So, in this case, we have e^? / e^65. To make the bases the same, we can rewrite this as e^(? - 65).
Since this expression is equal to e^38, we can set the exponents equal to each other:
? - 65 = 38
Now, we can solve for the missing exponent:
? = 38 + 65
? = 103
Therefore, the missing exponent in the equation e^? / e^65 = e^38 is 103.
So, in this case, we have e^? / e^65. To make the bases the same, we can rewrite this as e^(? - 65).
Since this expression is equal to e^38, we can set the exponents equal to each other:
? - 65 = 38
Now, we can solve for the missing exponent:
? = 38 + 65
? = 103
Therefore, the missing exponent in the equation e^? / e^65 = e^38 is 103.
Simplify 13^12÷13^−10
To simplify the expression 13^12 ÷ 13^-10, we can use the rule that states when dividing two exponential expressions with the same base, we subtract the exponents:
13^12 ÷ 13^-10 = 13^(12 - (-10))
Simplifying the exponent:
= 13^(12 + 10)
= 13^22
Therefore, 13^12 ÷ 13^-10 simplifies to 13^22.
13^12 ÷ 13^-10 = 13^(12 - (-10))
Simplifying the exponent:
= 13^(12 + 10)
= 13^22
Therefore, 13^12 ÷ 13^-10 simplifies to 13^22.
Simplify 4^13÷3^−5
To simplify the expression 4^13 ÷ 3^-5, we can use the rule that states when dividing two exponential expressions with the same base, we subtract the exponents:
4^13 ÷ 3^-5 = 4^13 × 3^5
Since the bases are different (4 and 3), we cannot simplify this any further. Therefore, the simplified expression is 4^13 × 3^5.
4^13 ÷ 3^-5 = 4^13 × 3^5
Since the bases are different (4 and 3), we cannot simplify this any further. Therefore, the simplified expression is 4^13 × 3^5.
Simplify this expression using the Quotient Rule of Integer Exponents: t^400\t^100
The Quotient Rule of Integer Exponents states that when dividing two exponential expressions with the same base, you subtract the exponents.
In this case, we have t^400 / t^100. Applying the rule, we subtract the exponents:
t^400 / t^100 = t^(400-100) = t^300.
Therefore, the simplified expression is t^300.
In this case, we have t^400 / t^100. Applying the rule, we subtract the exponents:
t^400 / t^100 = t^(400-100) = t^300.
Therefore, the simplified expression is t^300.
Simplify a^67\b^34
To simplify the expression a^67 / b^34, we can use the Quotient Rule of Exponents, which states that when dividing two exponential expressions with the same base, we subtract the exponents.
Applying the rule, we can simplify the expression as follows:
a^67 / b^34 = a^(67-34) / b^34 = a^33 / b^34.
Therefore, the simplified expression is a^33 / b^34.
Applying the rule, we can simplify the expression as follows:
a^67 / b^34 = a^(67-34) / b^34 = a^33 / b^34.
Therefore, the simplified expression is a^33 / b^34.
Apply the Quotient Rule of Integer Exponents to simplify 23^65÷23^32
The Quotient Rule of Integer Exponents states that when dividing two exponential expressions with the same base, we subtract the exponents.
In this case, the expression is 23^65 ÷ 23^32.
Applying the rule, we subtract the exponents:
23^65 ÷ 23^32 = 23^(65-32) = 23^33.
Therefore, the simplified expression is 23^33.
In this case, the expression is 23^65 ÷ 23^32.
Applying the rule, we subtract the exponents:
23^65 ÷ 23^32 = 23^(65-32) = 23^33.
Therefore, the simplified expression is 23^33.
Simplify this expression using the Quotient Rule of Integer Exponents: 12^53÷7^53
The Quotient Rule of Integer Exponents states that when dividing two exponential expressions with the same base, we subtract the exponents.
In this case, we have 12^53 ÷ 7^53.
Applying the Quotient Rule, we subtract the exponents:
12^53 ÷ 7^53 = 12^53 - 7^53.
However, the bases are different (12 and 7), so we cannot simplify this expression further. Therefore, the simplified expression remains as 12^53 ÷ 7^53.
In this case, we have 12^53 ÷ 7^53.
Applying the Quotient Rule, we subtract the exponents:
12^53 ÷ 7^53 = 12^53 - 7^53.
However, the bases are different (12 and 7), so we cannot simplify this expression further. Therefore, the simplified expression remains as 12^53 ÷ 7^53.
Which are the correct steps to follow to simplify an exponential expression using the Quotient Rule of Integer Exponents?(1 point)
Responses
Subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Check if the bases are the same; if they are, subtract the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.
Check if the bases are the same; if they are, subtract the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.
Check if the bases are different; if they are, subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Check if the bases are different; if they are, subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Check if the bases are the same; if they are, add the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.
Responses
Subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Check if the bases are the same; if they are, subtract the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.
Check if the bases are the same; if they are, subtract the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.
Check if the bases are different; if they are, subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Check if the bases are different; if they are, subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Check if the bases are the same; if they are, add the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.
The correct step to follow to simplify an exponential expression using the Quotient Rule of Integer Exponents is:
Check if the bases are the same; if they are, subtract the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.
Check if the bases are the same; if they are, subtract the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.
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You're welcome! I'm glad I could help. Congratulations on getting 100% on your check! Have a fantastic day as well!