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

70
71
72
73

User Dragonight
by
8.0k points

2 Answers

9 votes

the answer is 7 power 2

User William Edmisten
by
8.0k points
6 votes

Answer:

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

User Squash
by
8.3k points

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