Please help me solve these problems, or as many as you can. I need them in step by step.. 5. 36d¹⁰/6d⁵ 6. [(4³)²]²

Question

Please help me solve these problems, or as many as you can. I need them in step by step..

5. 36d¹⁰/6d⁵

6. [(4³)²]²

7. 5³•7⁵•10/5•7⁴

8. (2²)⁷

9. (8v⁹)⁵

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Philomena 4 months 2021-09-05T09:30:01+00:00 1 Answers 0 views 0

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    0
    2021-09-05T09:31:26+00:00

    Answer:

    5. 36d¹⁰/6d⁵ = 6d⁵

    6. [(4³)²]² = 4⁷

    7. 5³•7⁵•10/5•7⁴ = 5²•7• 10

    8. (2²)⁷ = 2⁹

    9. (8v⁹)⁵ = 8⁵V¹⁴

    Step-by-step explanation:

    When solving questions having indices, we follow certain rules in Mathematics

    a) a^b/a^c = a^b-c

    b) (a^b)^c = a^b+ c

    Hence:

    5. 36d¹⁰/6d⁵ =

    (36/6)^d^10-5 = 6d⁵

    6. [(4³)²]²

    = (4)^3 + 2+ 2 = 4⁷

    7. 5³•7⁵•10/5•7⁴

    = (5)^3-1 • (7) ^5-4• × 10

    = 5²•7•10

    8. (2²)⁷

    = (2)^2 + 7

    = 2⁹

    9. (8v⁹)⁵

    = 8⁵•v^9+5

    = 8⁵v¹⁴

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