Question

58:37

Answer 1

To get the simplified form of the given equation. Let's simplify and find the answer!

$\sf⟾ \: \red{(6 ^{ - 2} \times 6 ^{5} )^{ - 3} }$

Calculate the product using rule of exponent i.e. $\boxed{ \tt \: a ^{m} \times {a}^{n} = {a}^{m + n} }$

$\sf⟾ \: \orange{( {6}^{ - 2 + 5}) ^{ - 3} }$

Calculate the sum

$\sf⟾ \: \green{(6^{3}) ^{ - 3} }$

Use the rule of exponent to Simplify the power i.e. $\boxed{ \tt \: ( {a}^{m} )^{n} = {a}^{m \times n} }$

$\sf⟾ \: \blue{ {6}^{ 3 \times - 3} }$

Multiply the numbers

$\sf⟾ \: \purple{6 ^{ - 9} }$

To make the power positive, Do the reciprocal of the whole number

$\sf⟾ \: \pink{ \frac{1}{ {6}^{9} } }$

Thus, Option B is the correct choice!!~

Answer 2

Answer:

$(6^{-2}*6^{5} )^{-3} \\\\(6^{3} )^{-3} \\\\ \frac{1}{(6^{3})^{3} } \\\\\frac{1}{6^{9} }$

Step-by-step explanation:

Option B is correct