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\[\sqrt{27{a}^{9}}\]
+
−
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>
<
×
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≥
≤
(
)
log
x
=
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sqrt(27a^9)
sqrt(27a^9)
\sqrt{{27a}^{9}}
1
Use this rule:
a
b
=
a
b
\sqrt{ab}=\sqrt{a}\sqrt{b}
a
b
=
a
b
.
27
a
9
\sqrt{27}\sqrt{{a}^{9}}
2
7
a
9
2
Simplify
27
\sqrt{27}
2
7
to
3
3
3\sqrt{3}
3
3
.
3
3
a
9
3\sqrt{3}\sqrt{{a}^{9}}
3
3
a
9
3
Simplify
a
9
\sqrt{{a}^{9}}
a
9
to
(
a
9
)
1
2
{({a}^{9})}^{\frac{1}{2}}
(
a
9
)
2
1
.
3
3
(
a
9
)
1
2
3\sqrt{3}{({a}^{9})}^{\frac{1}{2}}
3
3
(
a
9
)
2
1
4
Use this rule:
(
x
a
)
b
=
x
a
b
{({x}^{a})}^{b}={x}^{ab}
(
x
a
)
b
=
x
a
b
.
3
3
a
9
2
3\sqrt{3}{a}^{\frac{9}{2}}
3
3
a
2
9
Done
3*sqrt(3)*a^(9/2)
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