Question

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

70
71
72
73

Answer 1

the answer is 7 power 2

Answer 2

The simplified expression of
`(7^(4).7^(6))/(7^(8))` is 7² ⇒ C

Explanation:

Let us revise some rules of exponent

• 
  `a^(m)` ×
  `a^(n)` =
  `a^(m+n)`

• 
  `(a^(m))/(a^(n))` =
  `a^(m-n)`

Let us solve the question

∵ The expression is
`(7^(4).7^(6))/(7^(8))`

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

∴
`(7^(4).7^(6))/(7^(8))` =
`(7^(4+6))/(7^(8))`

∴
`(7^(4).7^(6))/(7^(8))` =
`(7^(10))/(7^(8))`

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

∵
`(7^(4).7^(6))/(7^(8))` =
`7^(10-8)`

∴
`(7^(4).7^(6))/(7^(8))` = 7²

∴ The simplified expression of
`(7^(4).7^(6))/(7^(8))` is 7²