Question

(-3/7) to power -3 ÷ (-3/7) to power -4

Answer 1

Answer:

(-3/7)

Step-by-step explanation:

(-3/7)⁻³ ÷ (-3/7)⁻⁴

{x^a/x^b = x^(a - b)}

==> (-3/7)⁻³⁺⁴

==> (-3/7)¹

==> (-3/7)

Hence, the result is -3/7.

Answer 2

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(-3/7)^(-3) ÷ (-3/7)^(-4)

$\LARGE\underline{\underline{\sf \red{S}\blue{o}\green{l}\orange{u}\pink{t}\purple{i}\orange{o}\red{n}:}}$

Formula to be used :----

• x^a ÷ x^b = x^(a-b)

Using both we get,

$(\frac{ - 3}{7} )^{ - 3} \div (\frac{ - 3}{7} )^{ - 4} \\ \\ \implies \: (\frac{ - 3}{7} )^{ (- 3 - ( - 4))} \\ \\ \implies \: (\frac{ - 3}{7} )^{ ( - 3 + 4)} \\ \\ \implies \: (\frac{ - 3}{7} )^{ ( 1)} \\ \\ \implies \: ( \frac{ - 3}{7} )$

$\huge\underline\mathfrak\green{Hope\:it\:Helps\:You}$