Question

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

Answer 1

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**.