What is the missing exponent in the following equation? h^450/h^? = h^215
The missing exponent in the given equation is 235.
To find the missing exponent in the equation h^450/h^? = h^215, we can use the property of division of exponents. According to this property, when dividing two terms with the same base, you subtract the exponents.
So, we have h^450/h^? = h^215.
To solve for the missing exponent, we need to set the exponents equal to each other and solve the equation:
450 - ? = 215.
To isolate the missing exponent, we can subtract 450 from both sides:
-? = 215 - 450.
Simplifying further:
-? = -235.
To solve for the missing exponent, we multiply both sides by -1:
? = (-235) * (-1).
Therefore, the missing exponent in the equation is ? = 235.
To find the missing exponent in the equation h^450/h^? = h^215, we can use the properties of exponents.
First, recall that when you divide two terms with the same base, you subtract the exponents. So, h^450/h^? can be rewritten as h^(450-?).
Now, we can equate the two sides of the equation and solve for the missing exponent:
h^(450-?) = h^215
To isolate the variable, we must apply the property that if two exponential expressions with the same base are equal, then their exponents must be equal as well. In this case, we can set 450-? equal to 215:
450 - ? = 215
By rearranging the equation, we can solve for the missing exponent:
? = 450 - 215
? = 235
Therefore, the missing exponent in the equation h^450/h^? = h^215 is 235.