Question

find 'n' if 7³n ×7⁴ =7¹³​

Answer 1

$\red{\boxed{\boxed{ n = {7}^{6} }}}$

Step-by-step explanation:

${7}^{3} n \times {7}^{4} = {7}^{13} \\ \: \: \: {7}^{(3 + 4)} n = {7}^{13} \\ \: \: \: \: \: \: \: \: \: {7}^{7} n = {7}^{13} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: n = \frac{{7}^{13} }{{7}^{7}} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: n = {7}^{(13 - 7)} \\ \: \: \: \: \: \: \: \: \: \: \: \: n = {7}^{6}$

${\purple{\boxed{ {\mathfrak{\underline{\purple{ @11177420 }}}} }}}$

Answer 2

Step-by-step explanation:

7³x n x7⁴=7¹³

n=7¹³/7^7

n=7^5

n=16807