Question
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
Answers
Answered by
GPT-4o mini
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 \( 235 \).
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 \( 235 \).
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