What is the missing exponent in the following equation?

h450h? = h215 (1 point)

1 answer

To find the missing exponent in the equation \( h^{450} h^? = h^{215} \), we can use the laws of exponents. When multiplying like bases, we can add the exponents:

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

This means we can set up the equation:

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

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

\[ 450 + ? = 215 \]

To solve for \( ? \), we subtract 450 from both sides:

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

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