Question
Finding the missing value for
z^7 /z^? = z^17
?=
z^7 /z^? = z^17
?=
Answers
GPT 3.5
To find the missing value in the given equation z^7 / z^? = z^17, we can use the basic property of exponents which states that when dividing like bases with exponents, the exponents are subtracted.
Therefore, we have the equation:
z^7 / z^? = z^17
By applying the exponent property, we can rewrite the equation as:
z^(7-?) = z^17
Since the bases are the same (z) on both sides, we can set the exponents equal to each other:
7 - ? = 17
To solve for ?, we can subtract 7 from both sides:
-? = 17 - 7
-? = 10
Then, we can multiply both sides by -1 to isolate ?:
-1 * -? = -1 * 10
? = -10
Therefore, the missing value is -10.
Therefore, we have the equation:
z^7 / z^? = z^17
By applying the exponent property, we can rewrite the equation as:
z^(7-?) = z^17
Since the bases are the same (z) on both sides, we can set the exponents equal to each other:
7 - ? = 17
To solve for ?, we can subtract 7 from both sides:
-? = 17 - 7
-? = 10
Then, we can multiply both sides by -1 to isolate ?:
-1 * -? = -1 * 10
? = -10
Therefore, the missing value is -10.