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Let’s check out your problem:
Evaluate
9
150
300
\frac{9^{150}}{300}
300
9
150
\newline
A)
18
18
18
\newline
B)
9
9
9
\newline
C)
3
3
3
\newline
D)
81
81
81
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Math Problems
Algebra 1
Solve linear equations: mixed review
Full solution
Q.
Evaluate
9
150
300
\frac{9^{150}}{300}
300
9
150
\newline
A)
18
18
18
\newline
B)
9
9
9
\newline
C)
3
3
3
\newline
D)
81
81
81
Simplify Exponent:
First, simplify the exponent by dividing
150
150
150
by
300
300
300
.
\newline
9
150
/
300
=
9
1
/
2
9^{150/300} = 9^{1/2}
9
150/300
=
9
1/2
Recognize Square Root:
Next, recognize that
9
1
/
2
9^{1/2}
9
1/2
is the
square root
of
9
9
9
.
\newline
9
=
3
\sqrt{9} = 3
9
=
3
Match with Options:
Finally, match the result with the given options.
\newline
The correct answer is C)
3
3
3
.
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