Simplify the following in exponential form
6^18/6^8
To simplify the expression 6^18/6^8, we can use the rule of exponentiation which states that when dividing two numbers with the same base, subtract the exponents.
So, 6^18/6^8 simplifies to 6^(18-8), which is equal to 6^10.
find the missing value for
x^18/x^?=x^5
To find the missing value, we can use the rule of exponentiation which states that when dividing two numbers with the same base, subtract the exponents.
So, x^18/x^?=x^5 can be rewritten as x^(18-?)=x^5.
When the bases are the same (in this case, x), the exponents must be equal.
Therefore, we can set up the equation 18-?=5 and solve for ?.
Subtracting 5 from both sides, we have 18-5=?.
Simplifying, we find that ?=13.
Thus, the missing value is 13.
Therefore, x^18/x^13=x^5.
Find the missing value for
x^3/x^?=x^19
To find the missing value, we can use the rule of exponentiation which states that when dividing two numbers with the same base, we subtract the exponents.
So, x^3/x^? = x^19 can be rewritten as x^(3-?) = x^19.
When the bases are the same (in this case, x), the exponents must be equal.
Therefore, we can set up the equation 3 - ? = 19 and solve for ?.
Subtracting 3 from both sides, we have -? = 16.
To isolate ?, we multiply both sides by -1 to get ? = -16.
So, the missing value is -16.
Therefore, x^3/x^(-16) = x^19.
Simplify the following in exponential form
2^19/2
To simplify 2^19/2, we can use the rule of exponentiation which states that when dividing two numbers with the same base, we subtract the exponents.
So, 2^19/2 can be rewritten as 2^(19-1), which simplifies to 2^18.
Therefore, 2^19/2 is equivalent to 2^18.