What is the missing exponent in the following equation?

h^450/h? = h^215
(1 point)

1 answer

To solve the equation \( \frac{h^{450}}{h^?} = h^{215} \), we can use the property of exponents that states \( \frac{h^a}{h^b} = h^{a-b} \).

So we have:

\[ \frac{h^{450}}{h^?} = h^{450 - ?} \]

Setting this equal to \( h^{215} \), we get:

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

Since the bases are the same, we can set the exponents equal to each other:

\[ 450 - ? = 215 \]

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

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

Thus, the missing exponent is \( 235 \).