ENTRY TITLE

IDEA BY: | Aditya Anand | LOCATION: | Other | CATEGORY: | Education |

ENTRY TITLE

IDEA BY: | Aditya Anand |

LOCATION: | Other |

CATEGORY: | Education |

ENTRY DESCRIPTION

For a number A, with powers M and Z, such that, M>Z A^M - A^Z = (A-1) * [(A^N) + ( A^O) ............(A^Y) + (A^Z)] For example, 7^3 - 7^1 = (7-1) * [(7^2) + (7^1)] L.H.S. = 7^3 - 7^1 = 343 - 7 = 336 R.H.S. = (7-1) * [(7^2) + (7^1)] =6 * [49+7] = 6*56 = 336 If we consider one more example, 7^7 -(7^-2) = (7-1) * [(7^6) + (7^5) +(7^4)+(7^3)+(7^2)+(7^1)+(7^0)+(7^-1)+(7^-2)] L.H.S. = 823543 - 0.0204 (approx) = 823542.9796 R.H.S. = (7-1) * [(7^6) + (7^5) +(7^4)+(7^3)+(7^2)+(7^1)+(7^0)+(7^-1)+(7^-2)] = 6 * 137257.1632 (approx) = 823542.9796