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E23 Math
Question 56
2021 December(E23) Math Question 56
Exponents, Radicals, & Scientific Notation
- Radical Expressions
Laws of exponents
Choice J
x
{
{
1
}
{
4
}
}
.
x
{
{
1
}
{
6
}
}
=
?
x^\{\frac\{1\}\{4\}\}.x^\{\frac\{1\}\{6\}\}=?
x
{
1
{
}
{
4
}}
.
x
{
1
{
}
{
6
}}
=
?
x
{
{
1
}
{
4
}
}
.
x
{
{
1
}
{
6
}
}
=
x
{
{
1
}
{
4
}
+
{
1
}
{
6
}
}
x^\{\frac\{1\}\{4\}\}.x^\{\frac\{1\}\{6\}\}=x^\{\frac\{1\}\{4\}+\frac\{1\}\{6\}\}
x
{
1
{
}
{
4
}}
.
x
{
1
{
}
{
6
}}
=
x
{
1
{
}
{
4
}
+
1
{
}
{
6
}}
=
x
{
{
3
+
2
}
{
12
}
}
=x^\{\frac\{3+2\}\{12\}\}
=
x
{
3
{
+
2
}
{
12
}}
=
x
{
{
5
}
{
12
}
}
=x^\{\frac\{5\}\{12\}\}
=
x
{
5
{
}
{
12
}}
=
(
x
5
)
{
{
1
}
{
12
}
}
=(x^5)^\{\frac\{1\}\{12\}\}
=
(
x
5
)
{
1
{
}
{
12
}}
=
{
12
x
5
}
=\sqrt[12]\{x^5\}
=
12
{
x
5
}
Skills you are tested for:
Laws of exponents
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