Asked by quandale dingle
Use the quotient rule to find the missing exponent. h^450/h^? =h^250
(1 point)
?=
(1 point)
?=
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To use the quotient rule for exponents, we know that:
\[
\frac{a^m}{a^n} = a^{m-n}
\]
Given the equation:
\[
\frac{h^{450}}{h^{?}} = h^{250}
\]
We apply the quotient rule:
\[
h^{450 - ?} = h^{250}
\]
Since the bases are the same (both are \(h\)), we can set the exponents equal to each other:
\[
450 - ? = 250
\]
Now, solving for \(?\):
\[
450 - 250 = ?
\]
\[
? = 200
\]
Thus, the missing exponent is:
\[
\boxed{200}
\]
\[
\frac{a^m}{a^n} = a^{m-n}
\]
Given the equation:
\[
\frac{h^{450}}{h^{?}} = h^{250}
\]
We apply the quotient rule:
\[
h^{450 - ?} = h^{250}
\]
Since the bases are the same (both are \(h\)), we can set the exponents equal to each other:
\[
450 - ? = 250
\]
Now, solving for \(?\):
\[
450 - 250 = ?
\]
\[
? = 200
\]
Thus, the missing exponent is:
\[
\boxed{200}
\]
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