2023 April(F11) Math Question 32
Exponents, Radicals, & Scientific Notation
- Exponent Expressions
Mercury's average distance D=36.0D = 36.0D=36.0 million miles.
T=0.4D1.5=0.4(36)1.5T = 0.4D^{1.5} = 0.4(36)^{1.5}T=0.4D1.5=0.4(36)1.5
Since 361.5=361⋅360.5=3636=36⋅6=21636^{1.5} = 36^1 \cdot 36^{0.5} = 36\sqrt{36} = 36 \cdot 6 = 216361.5=361⋅360.5=3636=36⋅6=216:
T=0.4(62)1.5=0.4(63)=0.4⋅216T = 0.4(6^2)^{1.5} = 0.4(6^3) = 0.4 \cdot 216T=0.4(62)1.5=0.4(63)=0.4⋅216
This matches choice G: 0.4(63)0.4(6^3)0.4(63).
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