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Let’s check out your problem:
Simplify. Express your answer using positive exponents.
\newline
10
z
3
5
z
\frac{10z^3}{5z}
5
z
10
z
3
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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
10
z
3
5
z
\frac{10z^3}{5z}
5
z
10
z
3
Simplify Expression:
Step
1
1
1
: Write the expression in a simplified form.
\newline
10
z
3
5
z
=
10
5
⋅
z
3
z
\frac{10z^3}{5z} = \frac{10}{5} \cdot \frac{z^3}{z}
5
z
10
z
3
=
5
10
⋅
z
z
3
Simplify Coefficients and Powers:
Step
2
2
2
: Simplify the coefficients and the powers of
z
z
z
.
10
5
=
2
\frac{10}{5} = 2
5
10
=
2
z
3
/
z
=
z
(
3
−
1
)
=
z
2
z^3 / z = z^{(3-1)} = z^2
z
3
/
z
=
z
(
3
−
1
)
=
z
2
Combine Simplified Terms:
Step
3
3
3
: Combine the simplified terms.
\newline
2
×
z
2
=
2
z
2
2 \times z^2 = 2z^2
2
×
z
2
=
2
z
2
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\newline
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\newline
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\newline
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