Question

I need this Asap Please and Thank you​

Answer 1

Answer:

$a= 10,\:\: b=6$

Step-by-step explanation:

• $\frac{7^2\:.\:7^8}{7^4}=\frac{7^a}{7^4}=7^b$

• $\rightarrow\frac{7^{2+8}}{7^4}=\frac{7^a}{7^4}=7^b$

• $\rightarrow\frac{7^{10}}{7^4}=\frac{7^a}{7^4}=7^b$

• $\rightarrow {7^{10-4}}={7^{a-4}}=7^b$

• $\rightarrow {7^{6}}={7^{a-4}}=7^b$

• $\rightarrow 6=a-4=b$ (Bases are equal so exponents will also be equal)

• $\rightarrow 6=a-4,\:\: 6=b$

• $\rightarrow 6+4=a,\:\: 6=b$

• $\rightarrow a= 10,\:\: b=6$