Question

Find the value of
(1296)^0.75×36^-1

Answer 1

Answer:

$Value \:of \:(1296)^{0.75}\times 36^{-1}=6$

Step-by-step explanation:

$Value \:of \:(1296)^{0.75}\times 36^{-1}$

$= (36^{2})^{0.75}\times 36^{-1}$

$=[(6^{2})^{2}]^{0.75}\times (6^{2}){-1}$

$=(6^{4})^{0.75}\times 6^{2\times -1}$

$=6^{4\times 0.75 }\times 6^{-2}$

$=6^{3}\times 6^{-2}$

$=6^{3-2}\\=6$

Therefore,

$Value \:of \:(1296)^{0.75}\times 36^{-1}=6$

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Answer 2

The value of  $(1296)^{0.75}\times 36^{-1}$ is 6.

Step-by-step explanation:

We need to find the value of $(1296)^{0.75}\times 36^{-1}$

We know that, 36² = 1296 and 6² = 36

$(1296)^{0.75}\times 36^{-1}\\\\=[(6^2)^2]^{0.75}\times [(6)^2]^{-1}\\\\=(6)^{4\times 0.75}\times [(6)^2]^{-1}\\\\=6^3\times (6)^{-2}}\\\\=6^{3-2}\\\\=6$

So, the value of  $(1296)^{0.75}\times 36^{-1}$ is 6.

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Simplification

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