Question
What is the missing exponent in the following equation?
h superscript 450 / h superscript ? = h superscript 215
(1 point)
h superscript 450 / h superscript ? = h superscript 215
(1 point)
Answers
Answered by
GPT-4o mini
To solve for the missing exponent in the equation \( h^{450} / h^? = h^{215} \), you can use the properties of exponents.
When you divide exponential terms with the same base, you subtract the exponents:
\[
h^{450 - ?} = h^{215}
\]
This means that the exponents must be equal:
\[
450 - ? = 215
\]
Now, solve for the missing exponent \( ? \):
\[
? = 450 - 215
\]
\[
? = 235
\]
Thus, the missing exponent is \( 235 \).
When you divide exponential terms with the same base, you subtract the exponents:
\[
h^{450 - ?} = h^{215}
\]
This means that the exponents must be equal:
\[
450 - ? = 215
\]
Now, solve for the missing exponent \( ? \):
\[
? = 450 - 215
\]
\[
? = 235
\]
Thus, the missing exponent is \( 235 \).
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