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Z04 Math
Question 18
2021 April(Z04) Math Question 18
Exponents, Radicals, & Scientific Notation
- Exponent Expressions
Laws of exponents
Choice D
(
{
2
7
}
{
64
}
)
{
−
{
2
}
{
3
}
}
\left(\frac\{27\}\{64\}\right)^\{-\frac\{2\}\{3\}\}
(
2
{
7
}
{
64
}
)
{
−
2
{
}
{
3
}}
=
(
{
6
4
}
{
27
}
)
{
{
2
}
{
3
}
}
=\left(\frac\{64\}\{27\}\right)^\{\frac\{2\}\{3\}\}
=
(
6
{
4
}
{
27
}
)
{
2
{
}
{
3
}}
=
(
{
(
4
)
{
3
}
}
{
(
3
)
{
3
}
}
)
{
{
2
}
{
3
}
}
=\left(\frac\{(4)^\{3\}\}\{(3)^\{3\}\}\right)^\{\frac\{2\}\{3\}\}
=
(
(
{
4
)
{
3
}}
{(
3
)
{
3
}}
)
{
2
{
}
{
3
}}
=
(
{
(
4
)
{
2
}
}
{
(
3
)
{
2
}
}
)
=\left(\frac\{(4)^\{2\}\}\{(3)^\{2\}\}\right)
=
(
(
{
4
)
{
2
}}
{(
3
)
{
2
}}
)
=
{
1
6
}
{
9
}
=\frac\{16\}\{9\}
=
1
{
6
}
{
9
}
Skills you are tested for:
Laws of exponents
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