Question

Simplify the following in exponential form

6^18/6^8

Answer 1

find the missing value for

x^18/x^?=x^5

Answer 2

Find the missing value for

x^3/x^?=x^19

Answer 3

Simplify the following in exponential form

2^19/2

Answer 4

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.

Answer 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.

Answer 6

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.

Answer 7

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.