Question

8⁶ ÷ 8¹⁰ X 8³ : Evaluate.

Answer 1

a ^ m / a ^ n = a ^^ m - n

8 ^ 6 - 10 * 8 ^ 3 =

8 ^ -4 * 8 ^ 3

a ^ m * a ^ n = a ^ m + n

8 ^ -4 + 3

8 ^ -1

a ^ -1 = 1/ a ^ 1

1 / 8 ^ 1

= 1 / 8

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Answer 2

Answer:

8⁶ ÷ (8¹⁰ X 8³) = 1/8⁷

(8⁶ ÷ 8¹⁰) X 8³  = 1/8

Step-by-step explanation:

8⁶ ÷ 8¹⁰ X 8³ : Evaluate.

it can be either

8⁶ ÷ (8¹⁰ X 8³)

or

(8⁶ ÷ 8¹⁰) X 8³

Case 1

8⁶ ÷ (8¹⁰ X 8³)

aᵇ * aⁿ = aᵇ⁺ⁿ

using this

8¹⁰ X 8³ = 8¹³

8⁶/8¹³

aᵇ / aⁿ = aᵇ⁻ⁿ

Using this

8⁶/8¹³ = 8⁻⁷

8⁻ᵃ = 1/8ᵃ

8⁻⁷ = 1/8⁷

8⁶ ÷ (8¹⁰ X 8³) = 1/8⁷

Case 2

(8⁶ ÷ 8¹⁰) X 8³

= 8⁻⁴ * 8³

= 8⁻¹

= 1/8¹

= 1/8

(8⁶ ÷ 8¹⁰) X 8³  = 1/8