Question

8. Find the value of m. 1. (-3)m+1 x(-3)5 =(-3)^7​

Answer 1

(-3)m+1 x(-3)5 =(-3)^7

(-3)^m+1+5=7

m+1+5=7

m+6=7

m=7-6

m= 1

Answer 2

Step-by-step explanation:

${( - 3)}^{m + 1} \times {( - 3)}^{5} = {( - 3)}^{7}$

${( - 3)}^{m + 1 + 5} = {( - 3)}^{7}$

$according \: to \: law \: of \: exponent \\ {a}^{n} \times {a}^{m} = {a}^{m + n}$

$when \: bases \: are \: same \: powers \: will \: be \: equal$

so

$m + 1 + 5 = 7$

$m + 6 = 7$

$m = 7 - 6 = 1$