What is the missing exponent in the following equation?
h^450/h? = h^215
To find the missing exponent in the equation `h^450/h = h^215`, you need to understand the properties of exponents. When dividing two numbers with the same base, you subtract the exponents.
In this case, you have `h^450/h`. To simplify this expression, subtract the exponent of `h` in the denominator from the exponent of `h` in the numerator:
450 - 1 = 449
So, the missing exponent is 449.
Therefore, the correct equation with the missing exponent is:
`h^450/h^1 = h^215`
To find the missing exponent in the equation, we need to understand exponent rules. When we divide two exponents with the same base, we subtract the exponents. So, in this equation, we have h^450 divided by h^x, and this is equal to h^215.
Using the exponent rule, we can subtract the exponent of h in the denominator from the exponent of h in the numerator: 450 - x = 215.
To solve for x, we isolate the variable by subtracting 450 from both sides of the equation: 450 - x - 450 = 215 - 450.
Simplifying this gives: -x = -235.
Finally, to solve for x, we multiply both sides of the equation by -1: -1 * -x = -1 * -235.
This results in: x = 235.
Therefore, the missing exponent in the equation is 235.