What is the missing exponent in the following equation? h^450 * h^? = h^215

1 answer

To find the missing exponent in the equation \( h^{450} \cdot h^{?} = h^{215} \), we can use the properties of exponents. Specifically, when multiplying terms with the same base, we add the exponents:

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

From this, we can set up the equation:

\[ 450 + ? = 215 \]

Now, we can solve for the missing exponent \( ? \):

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

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