Question

3⁶ X (3³)² ÷ 3¹⁰ : Find the value.

Answer 1

3⁶ X (3³)² ÷ 3¹⁰

First multiply the power of 3 with the power of 2.

(3³)² = 3⁶

Combine the two 3's being multiplied and add the powers.

3⁶ X 3⁶ = 3⁶⁺⁶ = 3¹²

Now divide 3¹² by 3¹° with the subtraction of the powers.

3¹² ÷ 3¹° = 3¹²⁻¹° = 3²

Lastly, evaluate 3² to get the answer.

3² = 3 × 3 = 9

Answer 2

It is given that ,

3^6 × ( 3³ )² ÷ 3^10

= 3^6 × 3^3×2 ÷ 3^10

[ By ( a^m )ⁿ = a^mn ]

= 3^6 × 3^6 ÷ 3^10

= 3^6 × ( 1/3^10-6 )

[ By , ( a^m/a^n ) = a^m-n ]

= 3^6 × ( 1/3⁴ )

= 3^6-4

= 3²

= 9

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