[(5/11) -³ ×(5/11) ^- 7]. ÷ [(5/11) ]-³
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Answer:
(11/5)⁷
Step-by-step explanation:
[(5/11)⁻³ ×(5/11)⁻⁷]. ÷ [(5/11) ]⁻³
a^m x a^n = a^m+n - Law of exponents.
= (5/11)⁽⁻³⁾⁺⁽⁻⁷⁾ ÷ [(5/11) ]⁻³
= (5/11)⁻³⁻⁷÷ [(5/11) ]⁻³
= (5/11)⁻¹⁰ ÷ [(5/11) ]⁻³
a^m ÷ a^n= a^m-n - Law of exponents.
= (5/11)⁻¹⁰⁻⁽⁻³⁾
= (5/11)⁻¹⁰⁺³
= (5/11)⁻⁷
a^-m = 1/a^m- Law of exponents.
= (11/5)⁷
[ I don't think further simplification is necessary cause then the number is going to be very big and they don't ask for it ]
Hope it is helpful. Take care.
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