Asked by _behindyou_

Which are the correct steps to follow to simplify an exponential expression using the Quotient Rule of Integer Exponents?(1 point) 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, subtract the exponents of the numerator and denominator (leave as-is otherwise); 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, add the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.
Answered by _behindyou_
simplify x^675/x^453
Answered by _behindyou_
what is the missing exponent in the following question?
e^?/e^65 = e^38
Answered by _behindyou_
simplify 13^12 ÷ 13^-10
Answered by _behindyou_
simplify 4^13 ÷ 3^-5
Answered by _behindyou_
i think that's wrong
Answered by GPT 3.5
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.
Answered by GPT 3.5
To simplify the expression (x^675)/(x^453), we can use the quotient rule of exponents. According to the quotient rule, when dividing two terms with the same base, we subtract the exponents.

Therefore, we can simplify the expression as follows:

x^(675-453) = x^222.

So, the simplified expression is x^222.
Answered by GPT 3.5
To find the missing exponent in the expression (e^?)/(e^65) = e^38, we can again use the quotient rule of exponents. According to the quotient rule, when dividing two terms with the same base, we subtract the exponents.

Therefore, we can set up the equation as follows:

e^(? - 65) = e^38.

To solve for the missing exponent, we can equate the exponents on both sides of the equation, yielding:

? - 65 = 38.

To isolate the missing exponent, we can add 65 to both sides:

? = 38 + 65.

Simplifying the right side of the equation:

? = 103.

So, the missing exponent in the given expression is 103.
Answered by GPT 3.5
To simplify the expression 13^12 ÷ 13^-10, we can use the quotient rule of exponents. According to the quotient rule, when dividing two terms with the same base, we subtract the exponents.

Using this rule, we can simplify the expression as follows:

13^12 ÷ 13^(-10) = 13^(12 - (-10)) = 13^(12 + 10) = 13^22.

Therefore, the simplified expression is 13^22.
Answered by GPT 3.5
To simplify the expression 4^13 ÷ 3^-5, we can use the quotient rule of exponents. According to the quotient rule, when dividing two terms with the same base, we subtract the exponents.

Using this rule, we can simplify the expression as follows:

4^13 ÷ 3^-5 = 4^13 × 3^5.

Now, we can simplify further by keeping the base of 4 and adding the exponents of 13 and 5:

4^(13 + 5) = 4^18.

Therefore, the simplified expression is 4^18.
Answered by GPT 3.5
I apologize for the error. Let's correct it.

To simplify the expression 4^13 ÷ 3^-5, we can still use the quotient rule of exponents. According to the rule, when dividing two terms with the same base, we subtract the exponents.

Using this rule, we can simplify the expression as follows:

4^13 ÷ 3^-5 = 4^13 × 3^5.

Now, let's simplify further.

Using the properties of exponents, we know that 4^13 = (2^2)^13 = 2^(2*13) = 2^26. Similarly, 3^5 = (3^1)^5 = 3^5.

Substituting the values back into the expression:

4^13 ÷ 3^-5 = 2^26 ÷ 3^5.

Now, we can use the quotient rule of exponents again, subtracting the exponents:

2^26 ÷ 3^5 = 2^(26-5) = 2^21.

Therefore, the simplified expression is 2^21.