Question

What is the value of $(1331)^{\frac{-2}{3} }$ ?

Answer 1

Hey There!


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$(1331)^{\frac{-2}{3} }$ = ${(11)^3}^{\frac{-2}{3} }$

We know that, When a number is in exponential form and it's in Negative, We can change the Exponential format to its positive reciprocal

Hence,

$(11^3)^{\frac{-2}{3} }$ = ${\frac{1}{11^3}^{\frac{2}{3} }$ = ${\frac{1}{121}$

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Answer 2

Solution:

= (133)^-2/3

= (11^3)^-2/3

= (11)^3 × -2/3

Here,

* (3) is canceled

= (11)^-2

= (1/11)^2

= 1/121

Thus, the value of (133)^-2/3 is 1/121.