What is the missing exponent in the following equation?
(h^(450))/(h^(?))=h^(215) (1 point)
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 property of exponents which states that when dividing terms with the same base, we subtract the exponents.
Since we are dividing `(h^(450))/(h^(?))`, the exponent of `h` in the numerator is 450, and in the denominator, it is `?`.
Using the exponent property, we have:
`h^(450)/(h^(?)) = h^(450 - ?)`
And since this is equal to `h^(215)`, we can equate the exponents:
`450 - ? = 215`
To solve for `?`, we can subtract 215 from both sides of the equation:
`450 - ? - 215 = 0`
Which simplifies to:
`235 - ? = 0`
To isolate `?`, we subtract 235 from both sides:
`? = 235`
Therefore, the missing exponent in the equation is `235`.
To find the missing exponent in the equation `(h^450)/(h^?)=h^215`, you can use the rules of exponentiation.
In this equation, both sides have the base `h`, so you can divide the exponents on the left-hand side.
`(h^450)/(h^?)` can be simplified by subtracting the exponents:
`h^(450 - ?) = h^215`
Now, you can see that the bases are the same on both sides. For the exponents to be equal, you need to set the exponents equal to each other:
450 - ? = 215
To solve for the missing exponent `?`, you need to isolate it. Start by subtracting 215 from both sides of the equation:
450 - 215 - ? = 0
Simplifying further:
235 - ? = 0
To isolate `?`, subtract 235 from both sides:
235 - ? - 235 = 0 - 235
Simplifying:
-? = -235
Finally, to solve for `?`, multiply both sides by -1:
-(-?) = -235
? = 235
So, the missing exponent is 235.