What is the missing exponent in the following equation?

h450h? = h215

450

?

=


215
(1 point)

1 answer

To find the missing exponent in the equation \( h450h? = h215 \), we can rewrite it in a more manageable form:

Let us denote \( h450 \) as \( h^{450} \) and \( h? \) as \( h^x \), where \( x \) is the missing exponent we need to find.

We have:

\[ h^{450} \cdot h^{x} = h^{215} \]

By using the property of exponents which states that \( h^a \cdot h^b = h^{a + b} \), the equation can be simplified to:

\[ h^{450 + x} = h^{215} \]

Since the bases (h) are the same, we can equate the exponents:

\[ 450 + x = 215 \]

Now, we can solve for \( x \):

\[ x = 215 - 450 \] \[ x = -235 \]

Therefore, the missing exponent is \(-235\).