what is the missing exponent in the following equation?
h to the power of 450/ h to the power of ? = h to the power of 215
The missing exponent is 235.
To find the missing exponent in the equation:
h^(450) / h^? = h^(215)
We can use the property of exponents that states "When dividing terms with the same base, subtract the exponents."
So, we can rewrite the equation as:
h^(450 - ?) = h^(215)
Now, we can set the exponents equal to each other:
450 - ? = 215
To solve for the missing exponent, we need to isolate the variable ? on one side of the equation.
Subtracting 215 from both sides:
450 - 215 = ?
? = 235
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 to solve for the missing exponent.
First, let's establish the rule for dividing with exponents:
When dividing two quantities with the same base, you subtract the exponents. So,
h^(450) / h^(?) = h^(450 - ?)
Now, we have:
h^(450 - ?) = h^(215)
Since the bases are the same (h), the exponents must be equal. Therefore, we can set up an equation:
450 - ? = 215
To solve for ?, we need to isolate it on one side of the equation. Let's move 215 to the other side:
450 - 215 = ?
235 = ?
So, the missing exponent is 235.