Math, asked by abcdefgh117, 1 year ago

please give the answer with all steps

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Answered by DaIncredible
38
 {( {3}^{4} )}^{5} \div {( {3}^{2} )}^{4} \\ \\ \bf \: Reciprocal \: of \: the \: equation \: is : \\ \\ { ( {3}^{2} )}^{4} \div {( {3}^{4} )}^{5} \\ \\ \bf \: Using \: the \: identity \\ \bf \: ( { {a}^{m} })^{n} = {a}^{m \times n} \\ \\ = {3}^{2 \times 4} \div {3}^{4 \times 5} \\ \\ = {3}^{8} \div {3}^{20} \\ \\ \bf \: Again, \: Using \: the \: identity \\ \bf \: {a}^{m} \div {a}^{n} = {a}^{m - n} \\ \\ = {3}^{8 - 20} \\ \\ = {3}^{-12}

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abcdefgh117: the question is to find the reciprocal of the sum...
DaIncredible: Sorry, I didn't read that
DaIncredible: But corrected now.
DaIncredible: Please check :)
abcdefgh117: its right
Answered by shivam947
9
HEYA!!


HERE WE WILL USE THE IDENTITY

(3^4)^5 ÷ (3²)^4
3^20-8
3^12

NOW .

DO RECIPROCAL

1/(3)^12 OR
3^-12


HOPE IT HELPS U
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