Simplify
12 -10
13÷13
(1 point)
29 answers
The answer is 2.
13 to the power of 12 divided by 13 the the power of negative 10
To simplify 13^12 ÷ 13^(-10), we can use the rule of exponents that states "a^m ÷ a^n = a^(m - n)".
Therefore, 13^12 ÷ 13^(-10) can be written as 13^(12 - (-10)) which simplifies to 13^(12 + 10) which is equal to 13^22.
So, the simplified expression is 13^22.
Therefore, 13^12 ÷ 13^(-10) can be written as 13^(12 - (-10)) which simplifies to 13^(12 + 10) which is equal to 13^22.
So, the simplified expression is 13^22.
simplify x to the power of 675 over x to the power of 453
To simplify x^675 / x^453, we can use the rule of exponents that states "a^m / a^n = a^(m - n)".
Therefore, x^675 / x^453 can be written as x^(675 - 453) which simplifies to x^222.
So, the simplified expression is x^222.
Therefore, x^675 / x^453 can be written as x^(675 - 453) which simplifies to x^222.
So, the simplified expression is x^222.
Simplify 4 to the power of 13 divided by 3 to the power of -5
To simplify 4^13 ÷ 3^(-5), we can use the rule of exponents that states "a^m ÷ a^n = a^(m - n)" and the rule that states "a^(-n) = 1 / a^n".
First, we can rewrite 3^(-5) as 1 / 3^5.
Now, we have 4^13 ÷ (1 / 3^5).
We can simplify further by multiplying 4^13 by 3^5:
4^13 × 3^5 = 12^13.
So, the simplified expression is 12^13.
First, we can rewrite 3^(-5) as 1 / 3^5.
Now, we have 4^13 ÷ (1 / 3^5).
We can simplify further by multiplying 4^13 by 3^5:
4^13 × 3^5 = 12^13.
So, the simplified expression is 12^13.
that is not correct
I apologize for the incorrect response. Let's solve it correctly:
To simplify 4^13 ÷ 3^(-5), we can use the rule of exponents that states "a^m ÷ a^n = a^(m - n)" and the rule that states "a^(-n) = 1 / a^n".
First, let's convert 3^(-5) to its reciprocal: 1 / 3^5.
Now, we have 4^13 ÷ (1 / 3^5).
Next, we can simplify further by multiplying 4^13 by 3^5:
4^13 × 3^5 = (2^2)^13 × 3^5 = 2^(2*13) × 3^5 = 2^26 × 3^5.
Thus, the simplified expression is 2^26 × 3^5.
To simplify 4^13 ÷ 3^(-5), we can use the rule of exponents that states "a^m ÷ a^n = a^(m - n)" and the rule that states "a^(-n) = 1 / a^n".
First, let's convert 3^(-5) to its reciprocal: 1 / 3^5.
Now, we have 4^13 ÷ (1 / 3^5).
Next, we can simplify further by multiplying 4^13 by 3^5:
4^13 × 3^5 = (2^2)^13 × 3^5 = 2^(2*13) × 3^5 = 2^26 × 3^5.
Thus, the simplified expression is 2^26 × 3^5.
Simplify this expression using the Quotient Rule of Integer Exponents: t^400/t^100
According to the quotient rule of exponents, when dividing two terms with the same base, we can subtract the exponents.
Therefore, t^400 / t^100 can be simplified as t^(400-100), which is t^300.
So, the simplified expression is t^300.
Therefore, t^400 / t^100 can be simplified as t^(400-100), which is t^300.
So, the simplified expression is t^300.
Simplify a^67/b^34
To simplify (a^67)/(b^34), we cannot apply any specific rule, so the expression remains as it is.
The simplified expression is (a^67)/(b^34).
The simplified expression is (a^67)/(b^34).
Apply the Quotient Rule of Integer Exponents to simplify 23^65÷23^32.(1 point)
According to the quotient rule of exponents, when dividing two terms with the same base, we can subtract the exponents.
Therefore, 23^65 ÷ 23^32 can be simplified as 23^(65-32), which is 23^33.
So, the simplified expression is 23^33.
Therefore, 23^65 ÷ 23^32 can be simplified as 23^(65-32), which is 23^33.
So, the simplified expression is 23^33.
Simplify this expression using the Quotient Rule of Integer Exponents: 12^53÷7^53.(1 point)
According to the quotient rule of exponents, when dividing two terms with the same base, we can subtract the exponents.
Therefore, 12^53 ÷ 7^53 can be simplified as 12^(53-53) ÷ 7^(53-53), which is 12^0 ÷ 7^0.
Any non-zero number raised to the power of 0 is equal to 1. Therefore, 12^0 = 1 and 7^0 = 1.
Now, we have 1 ÷ 1, which simplifies to 1.
So, the simplified expression is 1.
Therefore, 12^53 ÷ 7^53 can be simplified as 12^(53-53) ÷ 7^(53-53), which is 12^0 ÷ 7^0.
Any non-zero number raised to the power of 0 is equal to 1. Therefore, 12^0 = 1 and 7^0 = 1.
Now, we have 1 ÷ 1, which simplifies to 1.
So, the simplified expression is 1.
Simplify this expression using the Quotient Rule of Integer Exponents: 12^53÷7^53.(1 point)
5^53
12^53÷7^53
5^106
12^106
5^53
12^53÷7^53
5^106
12^106
Apologies for the misunderstanding.
Using the quotient rule of exponents, the expression 12^53 ÷ 7^53 can be simplified as (12 ÷ 7)^53.
Therefore, we have (12 ÷ 7)^53 = 5^53.
So, the simplified expression is 5^53.
Using the quotient rule of exponents, the expression 12^53 ÷ 7^53 can be simplified as (12 ÷ 7)^53.
Therefore, we have (12 ÷ 7)^53 = 5^53.
So, the simplified expression is 5^53.
Which are the correct steps to follow to simplify an exponential expression using the Quotient Rule of Integer Exponents?(1 point)
a.) 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.
b.) Subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
c.) 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.
d.) 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.
a.) 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.
b.) Subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
c.) 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.
d.) 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.
The correct steps to follow to simplify an exponential expression using the Quotient Rule of Integer Exponents are:
a.) Check if the bases are the same; if they are, subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Option d.) 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.
a.) Check if the bases are the same; if they are, subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Option d.) 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.
only one answer
Apologies for the confusion. The correct step to follow to simplify an exponential expression using the Quotient Rule of Integer Exponents is:
b.) Subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
b.) Subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Apply the Zero Power Rule of Integer Exponents to solve 63^0.(1 point)
The Zero Power Rule of Integer Exponents states that any non-zero number raised to the power of 0 is equal to 1.
Therefore, 63^0 = 1.
So, the solution is 1.
Therefore, 63^0 = 1.
So, the solution is 1.
Apply the Zero Power Rule of Integer Exponents to solve 2.3+(−1.478)0.(1 point)
The Zero Power Rule of Integer Exponents does not apply to numbers with decimal values or non-integer exponents. It applies specifically to non-zero numbers raised to the power of 0.
Therefore, 2.3 + (-1.478)^0 cannot be simplified using the Zero Power Rule of Integer Exponents.
As it stands, the expression remains as it is: 2.3 + (-1.478)^0.
Therefore, 2.3 + (-1.478)^0 cannot be simplified using the Zero Power Rule of Integer Exponents.
As it stands, the expression remains as it is: 2.3 + (-1.478)^0.
2.3 + (-1.478)^0
The Zero Power Rule of Exponents states that any non-zero number raised to the power of 0 is equal to 1. Therefore, (-1.478)^0 is equal to 1.
So, 2.3 + (-1.478)^0 simplifies to 2.3 + 1.
The sum of 2.3 and 1 is 3.3.
Therefore, the simplified expression is 3.3.
So, 2.3 + (-1.478)^0 simplifies to 2.3 + 1.
The sum of 2.3 and 1 is 3.3.
Therefore, the simplified expression is 3.3.
3 answers