What is the missing exponent in the following equation?

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

1 answer

To solve for the missing exponent in the equation \( \frac{h^{450}}{h^?} = h^{215} \), we can use the properties of exponents.

We can simplify the left side of the equation using the rule \( \frac{a^m}{a^n} = a^{m-n} \):

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

Setting this equal to the right side, we have:

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

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

\[ 450 - ? = 215 \]

Now, we solve for \( ? \):

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

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

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