Question

If (–3)^(m+1) × (-3)^5 = (-3)^7, then the value of m is:

5

7

1

3​

Answer 1

Question:

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

Find the value of m…

Answer:

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

$w.k.t. \\ {a}^{m} \times {a}^{n} = {a}^{m + n}$

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

${( - 3)}^{m + 8} = {( - 3)}^{7}$

Balancing the powers

$m + 8 = 7$

$m = 7 - 8$

$m = ( - 1)$