(32)-³×64/(4)-⁵×2³ what is the answer class 9
Answers
32
5
2
×4
2
−1
×8
3
1
(
64
3
−1
2
−2
)
\begin{gathered} \sf \implies{( { {2}^{5} )}^{ \frac{2}{5} } } \times ( { {2}^{2} )}^{ \frac{ - 1}{2} } \times ( { {2}^{3}) }^{ \frac{1}{3} } \times ( \frac{ {2}^{ - 2} }{ ( {4}^{3} )^{ - \frac {1}{3} } } ) \\ \\ \sf \implies{{( { {2}^{ \cancel 5} )}^{ \frac{2}{ \cancel5} } } \times ( { {2}^{ \cancel2} )}^{ \frac{ - 1}{ \cancel2} } \times ( { {2}^{ \cancel3}) }^{ \frac{1}{ \cancel3} } \times ( \frac{ {2}^{ - 2} }{ ( {4}^{ \cancel 3} ) ^{ - \frac {1}{ \cancel3} } } )} \\ \\ \sf \implies{ {2}^{2} \times {2}^{ - 1} \times {2}^{1} \times \frac{ {2}^{ - 2} }{ {4}^{ - 1} } } \\ \\ \sf \implies{ {2}^{2} \times \frac{1}{ {2}^{1} } \times 2 \times \frac{ \frac{1}{ {2}^{2} } }{ \frac{1}{ {4}^{1} } } } \\ \\ \sf \implies{4 \times \frac{1}{2} \times 2 \times \frac{ \frac{1}{ 4} }{ \frac{1}{ {4}} } } \\ \\ \sf \implies{4 \times \frac{1}{ \cancel2} \times \cancel2 \times \frac{ \frac{1}{ \cancel4} }{ \frac{1}{ { \cancel4}} } } \\ \\ \sf {\red{ \implies \star \: \: {4} \: \: \: \: \: \: \: \: \: \: \: ....ans}}\end{gathered}
⟹(2
5
)
5
2
×(2
2
)
2
−1
×(2
3
)
3
1
×(
(4
3
)
−
3
1
2
−2
)
⟹(2
5
)
5
2
×(2
2
)
2
−1
×(2
3
)
3
1
×(
(4
3
)
−
3
1
2
−2
)
⟹2
2
×2
−1
×2
1
×
4
−1
2
−2
⟹2
2
×
2
1
1
×2×
4
1
1
2
2
1
⟹4×
2
1
×2×
4
1
4
1
⟹4×
2
1
×
2
×
4
1
4
1
⟹⋆4....ans
Answer:
16
Step-by-step explanation:
(32)^-3*64/(4)^-5*2^3
(2)^-15*(4)^3*4^5*2^3
2^-15*2^16*2^3
(2)^-15+16+3
(2)^4
2*2*2*2
=16