Question

find the value of 2/7 power -3​

Answer 1

Answer:

=(2/7)^-3

=(7/2)^3

=7^3/2^3

=343/8

Step-by-step explanation:

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Answer 2

Answer:

$(2/7)^-3$ = 343/8

Step-by-step explanation:

Given That,

                   $(2/7)^-3$⇒$1/(2/7)^3$

           [Because $(a/b)^-m$ can be written as $1/(a/b)^m$]

                               ⇒1/{($2^3)/(7^3)$}

            [Because $(a/b)^3$ can be written as $a^3/b^3$]

                                ⇒1/(8/343)

                                ⇒343/8

              [Because 1/(a/b) can be written as b/a]

Hence,$(2/7)^-3$ = 343/8