What is the missing exponent in the following equation?

h to the power of 450 over h? = h to the power of 215
the answer is 235
true or false

1 answer

To solve the equation \( \frac{h^{450}}{h^x} = h^{215} \), we can apply the property of exponents that states \( \frac{a^m}{a^n} = a^{m-n} \).

This gives us:

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

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

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

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

\[ 450 - x = 215 \]

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

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

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

So, the statement "the answer is 235" is true.