Question

find the value of m when (-6)^5×(-6)^3-m= (-6)​

Answer 1

$\huge{\star{\sf{\underline{Given :}}}}$

$(-6)^5 \times (-6)^{3-m} = -6$

$\huge{\star{\sf{\underline{To \: Find :}}}}$

We have to find the value of m.

$\huge{\star{\sf{\underline{Solution :}}}}$

$\implies{\sf (-6)^5 \times (-6)^{3-m} = -6} \\ \\ \implies{\sf (-6)^{5+(3-m)} = -6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [\because \: When \: base \: are \: same \: powers \: are \: added]} \\ \\ \implies{\sf 5 + (3 - m) = 1} \\ \\ \implies{\sf 8 - m = 1} \\ \\ \sf{\implies m = 8 - 1} \\ \\ \sf{\implies m = 7} \\ \\ \huge{\star{\underline{\boxed{\sf{m = 7}}}}}$