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Let’s check out your problem:
Simplify. Express your answer using positive exponents.
\newline
3
j
9
j
\frac{3j^9}{j}
j
3
j
9
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Math Problems
Algebra 1
Simplify exponential expressions using the multiplication rule
Full solution
Q.
Simplify. Express your answer using positive exponents.
\newline
3
j
9
j
\frac{3j^9}{j}
j
3
j
9
Write Expression:
Write down the given expression.
\newline
The given expression is
3
j
9
j
\frac{3j^9}{j}
j
3
j
9
. We need to simplify this expression by dividing the terms.
Apply Quotient Rule:
Apply the quotient rule for exponents.
\newline
When dividing powers with the same base, subtract the exponents.
\newline
3
j
9
j
=
3
×
(
j
9
j
1
)
=
3
×
j
9
−
1
=
3
×
j
8
\frac{3j^9}{j} = 3 \times \left(\frac{j^9}{j^1}\right) = 3 \times j^{9-1} = 3 \times j^8
j
3
j
9
=
3
×
(
j
1
j
9
)
=
3
×
j
9
−
1
=
3
×
j
8
Simplify Expression:
Simplify the expression.
\newline
Now that we have applied the exponent rule, we can simplify the expression to its final form.
\newline
3
×
j
8
=
3
j
8
3 \times j^8 = 3j^8
3
×
j
8
=
3
j
8
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Simplify. Express your answer using positive exponents.
\newline
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\newline
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\newline
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