What is the missing exponent in the following equation? Numerator: H to the four hundred and fifty power. Denominator: H to the ? power. = H to the 215 power

Answer 1

To find the missing exponent in the denominator, we can set up the equation based on the properties of exponents.

The equation you provided is:

\[ \frac{H^{450}}{H^{?}} = H^{215} \]

Using the property of exponents that states \( \frac{a^m}{a^n} = a^{m-n} \), we can rewrite the left side:

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

Now, since the bases are the same, we can equate the exponents:

\[ 450 - ? = 215 \]

To find the value of \( ? \), we can solve for it:

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

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