What is the nursing exponent in the following equation and we have H power of 450 over H with a? equals H power of 215 what is the missing exponent?

1 answer

To solve the equation given, we can use the properties of exponents. The equation can be expressed as follows:

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

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

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

Since the bases are the same (both are \(H\)), we can set the exponents equal to each other:

\[ 450 - a = 215 \]

Now, we can solve for \(a\). To do this, we can rearrange the equation:

\[ 450 - 215 = a \]

Calculating the left side gives:

\[ 235 = a \]

So, the missing exponent \(a\) is \(235\).