Answer:
The simplified expression of [tex]\frac{7^{4}.7^{6}}{7^{8}}[/tex] is 7² ⇒ C
Step-by-step explanation:
Let us revise some rules of exponent
Let us solve the question
∵ The expression is [tex]\frac{7^{4}.7^{6}}{7^{8}}[/tex]
→ By using the first rule above add the exponents of 7
∴ [tex]\frac{7^{4}.7^{6}}{7^{8}}[/tex] = [tex]\frac{7^{4+6}}{7^{8}}[/tex]
∴ [tex]\frac{7^{4}.7^{6}}{7^{8}}[/tex] = [tex]\frac{7^{10}}{7^{8}}[/tex]
→ By using the second rule above, subtract the exponents of 7
∵ [tex]\frac{7^{4}.7^{6}}{7^{8}}[/tex] = [tex]7^{10-8}[/tex]
∴ [tex]\frac{7^{4}.7^{6}}{7^{8}}[/tex] = 7²
∴ The simplified expression of [tex]\frac{7^{4}.7^{6}}{7^{8}}[/tex] is 7²
