[(9^3)^2×9^6]÷9^10 answer questions full explaination
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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)
9²
= 81
Hence,
[(9³)² × 9⁶] ÷ 9¹⁰ = 81
Hope it helped and believing you understood it........All the best
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