What is the missing exponent in the following equation?
h^450/h = h^215
The missing exponent is 235.
To find the missing exponent in the equation \(h^{450}/h = h^{215}\), we can apply the exponent properties.
When we divide two numbers with the same base, we subtract the exponents. So, in this case, we can rewrite the equation as:
\(h^{450-1} = h^{215}\)
Simplifying, we have:
\(h^{449} = h^{215}\)
Now we know that if two numbers with the same base are equal, then their exponents must also be equal. Therefore, the missing exponent is 449.
To find the missing exponent in the equation h^450/h = h^215, we need to apply the rules of exponents.
The rule we need to use is the quotient rule, which states that when dividing two numbers with the same base, you subtract the exponents:
h^a / h^b = h^(a - b).
In this case, our equation becomes h^(450 - 1) = h^215.
Simplifying further, we have h^449 = h^215.
Now, we equate the exponents:
449 = 215 + x,
where x represents the missing exponent.
To find the value of x, we need to solve the equation. Subtracting 215 from both sides, we get:
449 - 215 = x,
234 = x.
Therefore, the missing exponent in the equation h^450/h = h^215 is 234.