Question

2 to the power of 4*32 to the power of -2/5* (2 cube)to the power of -1/3

Answer 1

Answer:

therefore the answer is 2

please mark it BRAINLIEST

Answer 2

Answer:

$\red { 2^{4}\times (32)^{\frac{-2}{5}}\times (2^{3})^{\frac{-1}{3}}}\green { = 2}$

Step-by-step explanation:

$\red { 2^{4}\times (32)^{\frac{-2}{5}}\times (2^{3})^{\frac{-1}{3}}}$

$= 2^{4}\times (2^{5})^{\frac{-2}{5}}\times (2^{3})^{\frac{-1}{3}}$

$= 2^{4}\times (2^{5\times \frac{-2}{5}}\times 2^{3\times \frac{-1}{3}}$

$\boxed { \pink { (a^{m})^{n} = a^{mn}}}$

$= 2^{4} \times 2^{-2} \times 2^{-1}$

$= 2^{4-2-1}$

$\boxed {\pink { a^{m} \times a^{n} = a^{m+n}}}$

$= 2^{1}$

$\green { = 2}$

Therefore.,

$\red { 2^{4}\times (32)^{\frac{-2}{5}}\times (2^{3})^{\frac{-1}{3}}}\green { = 2}$

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