Math, asked by sangeetasharma75, 3 months ago

[(9^3)^2×9^6]÷9^10 answer questions​ full explaination​

Answers

Answered by joelpaulabraham
1

Answer:

[(9³)² × 9⁶] ÷ 9¹⁰ = 81

Step-by-step explanation:

We have,

[(9³)² × 9⁶] ÷ 9¹⁰

Before solving we must know certain important results,

a^m × a^n = a^(m + n)

(a^m)^n = a^(m × n)

a^m ÷ a^n = a^(m - n)

Now, we can solve easily using the above Property,

[(9³)² × 9⁶] ÷ 9¹⁰

[(9^(3 × 2)) × 9⁶] ÷ 9¹⁰

[(9⁶ × 9⁶] ÷ 9¹⁰

[(9^(6 + 6))] ÷ 9¹⁰

[(9¹²)] ÷ 9¹⁰

9¹² ÷ 9¹⁰

9^(12 - 10)

= 81

Hence,

[(9³)² × 9⁶] ÷ 9¹⁰ = 81

Hope it helped and believing you understood it........All the best

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