Question

What is the simplified expression for 7 power 4 multiplied by 7 power 6 over 7 power 8?

Answer 1

Answer:

The simplified expression of  $\frac{7^{4}.7^{6}}{7^{8}}$ is 7² ⇒ C

Step-by-step explanation:

Let us revise some rules of exponent

• $a^{m}$ × $a^{n}$ = $a^{m+n}$

• $\frac{a^{m}}{a^{n}}$ =  $a^{m-n}$

Let us solve the question

∵ The expression is $\frac{7^{4}.7^{6}}{7^{8}}$

→ By using the first rule above add the exponents of 7

∴  $\frac{7^{4}.7^{6}}{7^{8}}$ = $\frac{7^{4+6}}{7^{8}}$

∴  $\frac{7^{4}.7^{6}}{7^{8}}$ = $\frac{7^{10}}{7^{8}}$

→ By using the second rule above, subtract the exponents of 7

∵  $\frac{7^{4}.7^{6}}{7^{8}}$ = $7^{10-8}$

∴  $\frac{7^{4}.7^{6}}{7^{8}}$ = 7²

∴ The simplified expression of  $\frac{7^{4}.7^{6}}{7^{8}}$ is 7²