Question

I will give brainliest Show work please

Answer 1

Answer:

• n = 10

Step-by-step explanation:

• 4^8/(4^2)^-3 ÷ 4^4 = 4^n
• 4^8/4^-6 ÷ 4^4 = 4^n
• 4^(8 - (-6) - 4) = 4^n
• 4^10 = 4^n
• 10 = n
• n = 10

Answer 2

To Find :

• value of n

Solution :

$\sf \dashrightarrow \: \frac{4 {}^{8} }{(4 {}^{2} {)}^{ - 3} } \div {4}^{4} = 4 {}^{n} \\ \\ \sf \dashrightarrow \: \frac{4 {}^{8} }{ {4}^{ - 6} } \div {4}^{4} = 4 {}^{n} \\ \\ \sf \dashrightarrow \: {4}^{8 - ( - 6)} \div {4}^{4} = {4}^{n} \\ \\ \sf \dashrightarrow \: {4}^{8 + 6} \div {4}^{4} = {4}^{n} \\ \\ \sf \dashrightarrow \: {4}^{14} \div {4}^{4} = {4}^{n} \\ \\ \sf \dashrightarrow \: {4}^{14 - 4} = {4}^{n} \\ \\ \sf \dashrightarrow \: {4}^{10} = 4 {}^{n} \\ \\ \red{\boxed{ \bf \: n = 10}}$