To simplify the expression, we can apply the quotient rule of exponents, which states that when dividing two numbers with the same base, we subtract the exponents.
In this case, since both terms have the base x, we can subtract the exponents:
x^(675-453) = x^222
Simplify x⁶⁷⁵/x⁴⁵³.
19 answers
What is the missing exponent in the following equation?
e^?/e⁶⁵ = e³⁸
e^?/e⁶⁵ = e³⁸
To find the missing exponent, we can use the quotient rule of exponents, which states that when dividing two numbers with the same base, we subtract the exponents.
In this case, since both terms have the base e, we can subtract the exponents:
e^(? - 65) = e^38
To solve for the missing exponent, we can set the exponents equal to each other:
? - 65 = 38
Adding 65 to both sides of the equation, we have:
? = 38 + 65
Simplifying, we find:
? = 103
In this case, since both terms have the base e, we can subtract the exponents:
e^(? - 65) = e^38
To solve for the missing exponent, we can set the exponents equal to each other:
? - 65 = 38
Adding 65 to both sides of the equation, we have:
? = 38 + 65
Simplifying, we find:
? = 103
Simplify
13¹² ÷ 13-¹⁰
13¹² ÷ 13-¹⁰
To simplify this expression, we can use the quotient rule of exponents, which states that when dividing two numbers with the same base, we subtract the exponents.
In this case, we have 13 raised to the 12th power divided by 13 raised to the negative 10th power. Using the quotient rule, we subtract the exponents:
13^(12 - (-10))
When we subtract a negative from a positive exponent, it becomes addition:
13^(12 + 10)
Simplifying the exponent, we have:
13^22
Therefore, 13^12 ÷ 13^-10 simplifies to 13^22.
In this case, we have 13 raised to the 12th power divided by 13 raised to the negative 10th power. Using the quotient rule, we subtract the exponents:
13^(12 - (-10))
When we subtract a negative from a positive exponent, it becomes addition:
13^(12 + 10)
Simplifying the exponent, we have:
13^22
Therefore, 13^12 ÷ 13^-10 simplifies to 13^22.
Simplify
4¹³ ÷ 3-⁵
4¹³ ÷ 3-⁵
To simplify this expression, we can apply the quotient rule of exponents, which states that when dividing two numbers with the same base, we subtract the exponents.
In this case, we have 4 raised to the 13th power divided by 3 raised to the negative 5th power. Using the quotient rule, we subtract the exponents:
4^(13 - (-5))
When we subtract a negative from a positive exponent, it becomes addition:
4^(13 + 5)
Simplifying the exponent, we have:
4^18
So, 4^13 ÷ 3^-5 simplifies to 4^18.
In this case, we have 4 raised to the 13th power divided by 3 raised to the negative 5th power. Using the quotient rule, we subtract the exponents:
4^(13 - (-5))
When we subtract a negative from a positive exponent, it becomes addition:
4^(13 + 5)
Simplifying the exponent, we have:
4^18
So, 4^13 ÷ 3^-5 simplifies to 4^18.
Simplify 4¹³ ÷ 3^-5
To simplify the expression 4¹³ ÷ 3⁻⁵, we can use the quotient rule of exponents, which states that when dividing two numbers with the same base, we subtract the exponents.
Therefore, we can rewrite the expression as:
4¹³ / 3⁻⁵
Now, let's simplify the exponents:
4¹³ / (1 / 3⁵)
Since a negative exponent indicates the reciprocal of the base raised to the positive exponent, we can rewrite 3⁻⁵ as 1 / 3⁵.
The expression becomes:
4¹³ / (1 / 3⁵)
4¹³ * 3⁵
Calculating the exponents, we get:
(4^13) * (3^5)
So, the expression 4¹³ ÷ 3⁻⁵ simplifies to (4^13) * (3^5).
Therefore, we can rewrite the expression as:
4¹³ / 3⁻⁵
Now, let's simplify the exponents:
4¹³ / (1 / 3⁵)
Since a negative exponent indicates the reciprocal of the base raised to the positive exponent, we can rewrite 3⁻⁵ as 1 / 3⁵.
The expression becomes:
4¹³ / (1 / 3⁵)
4¹³ * 3⁵
Calculating the exponents, we get:
(4^13) * (3^5)
So, the expression 4¹³ ÷ 3⁻⁵ simplifies to (4^13) * (3^5).
Wrong
Apologies for the mistake. Let's correct it.
To simplify 4¹³ ÷ 3⁻⁵, we use the quotient rule of exponents:
Recall that a negative exponent indicates the reciprocal of the base raised to the positive exponent. Therefore, we can rewrite 3⁻⁵ as 1 / 3⁵.
The expression becomes:
4¹³ / (1 / 3⁵)
To divide by a fraction, we multiply by its reciprocal:
4¹³ * (3⁵ / 1)
Simplifying the exponents, we have:
4¹³ * 3⁵
Now, calculate the exponents to get the final simplified form:
(4^13) * (3^5)
Therefore, 4¹³ ÷ 3⁻⁵ simplifies to (4^13) * (3^5).
To simplify 4¹³ ÷ 3⁻⁵, we use the quotient rule of exponents:
Recall that a negative exponent indicates the reciprocal of the base raised to the positive exponent. Therefore, we can rewrite 3⁻⁵ as 1 / 3⁵.
The expression becomes:
4¹³ / (1 / 3⁵)
To divide by a fraction, we multiply by its reciprocal:
4¹³ * (3⁵ / 1)
Simplifying the exponents, we have:
4¹³ * 3⁵
Now, calculate the exponents to get the final simplified form:
(4^13) * (3^5)
Therefore, 4¹³ ÷ 3⁻⁵ simplifies to (4^13) * (3^5).
13¹²÷13-¹⁰
Simplify.
Simplify.
To simplify the expression 13¹² ÷ 13⁻¹⁰, we can use the quotient rule of exponents:
Recall that when dividing two numbers with the same base, we subtract the exponents.
In this case, we have 13 raised to the 12th power divided by 13 raised to the negative 10th power. Using the quotient rule, we subtract the exponents:
13^(12 - (-10))
When we subtract a negative from a positive exponent, it becomes addition:
13^(12 + 10)
Simplifying the exponent, we have:
13^22
Therefore, 13¹² ÷ 13⁻¹⁰ simplifies to 13²².
Recall that when dividing two numbers with the same base, we subtract the exponents.
In this case, we have 13 raised to the 12th power divided by 13 raised to the negative 10th power. Using the quotient rule, we subtract the exponents:
13^(12 - (-10))
When we subtract a negative from a positive exponent, it becomes addition:
13^(12 + 10)
Simplifying the exponent, we have:
13^22
Therefore, 13¹² ÷ 13⁻¹⁰ simplifies to 13²².
4¹³÷3-⁵
Simplify
Simplify
To simplify the expression 4¹³ ÷ 3⁻⁵, we can use the quotient rule of exponents:
Recall that when dividing two numbers with the same base, we subtract the exponents.
In this case, we have 4 raised to the 13th power divided by 3 raised to the negative 5th power. Using the quotient rule, we subtract the exponents:
4^(13 - (-5))
To simplify the subtraction of exponents, we can rewrite it as addition:
4^(13 + 5)
Simplifying the exponent, we have:
4^18
Therefore, 4¹³ ÷ 3⁻⁵ simplifies to 4¹⁸.
Recall that when dividing two numbers with the same base, we subtract the exponents.
In this case, we have 4 raised to the 13th power divided by 3 raised to the negative 5th power. Using the quotient rule, we subtract the exponents:
4^(13 - (-5))
To simplify the subtraction of exponents, we can rewrite it as addition:
4^(13 + 5)
Simplifying the exponent, we have:
4^18
Therefore, 4¹³ ÷ 3⁻⁵ simplifies to 4¹⁸.
Wrong
Apologies for the mistake. Let's correct it.
To simplify the expression 4¹³ ÷ 3⁻⁵, we can use the quotient rule of exponents:
Recall that when dividing two numbers with the same base, we subtract the exponents.
In this case, we have 4 raised to the 13th power divided by 3 raised to the negative 5th power. Using the quotient rule, we subtract the exponents:
4^(13 - (-5))
Simplifying the subtraction of exponents:
4^(13 + 5)
Now, simplify the exponent:
4^18
Hence, 4¹³ ÷ 3⁻⁵ simplifies to 4¹⁸.
To simplify the expression 4¹³ ÷ 3⁻⁵, we can use the quotient rule of exponents:
Recall that when dividing two numbers with the same base, we subtract the exponents.
In this case, we have 4 raised to the 13th power divided by 3 raised to the negative 5th power. Using the quotient rule, we subtract the exponents:
4^(13 - (-5))
Simplifying the subtraction of exponents:
4^(13 + 5)
Now, simplify the exponent:
4^18
Hence, 4¹³ ÷ 3⁻⁵ simplifies to 4¹⁸.
Simplify 4¹³÷3-⁵
Using the quotient rule of exponents
Using the quotient rule of exponents
To simplify 4¹³÷3⁻⁵ using the quotient rule of exponents, we need to subtract the exponents.
Recall that when dividing two numbers with the same base, we subtract the exponents.
In this case, we have 4 raised to the 13th power divided by 3 raised to the negative 5th power. Using the quotient rule, we subtract the exponents:
4^(13 - (-5))
To simplify the subtraction of exponents, we rewrite it as addition:
4^(13 + 5)
Now, simplify the exponent:
4^18
Therefore, 4¹³÷3⁻⁵ simplifies to 4¹⁸.
Recall that when dividing two numbers with the same base, we subtract the exponents.
In this case, we have 4 raised to the 13th power divided by 3 raised to the negative 5th power. Using the quotient rule, we subtract the exponents:
4^(13 - (-5))
To simplify the subtraction of exponents, we rewrite it as addition:
4^(13 + 5)
Now, simplify the exponent:
4^18
Therefore, 4¹³÷3⁻⁵ simplifies to 4¹⁸.
1 answer