QuestionAugust 25, 2025

Generate a numerical expression equivalent to ((9^6cdot 10^2)/(9^5)cdot 10)^3

Generate a numerical expression equivalent to ((9^6cdot 10^2)/(9^5)cdot 10)^3
Generate a numerical expression equivalent to ((9^6cdot 10^2)/(9^5)cdot 10)^3

Solution
4.5(349 votes)

Answer

729000 Explanation 1. Simplify the base expression Simplify \frac{9^6 \cdot 10^2}{9^5 \cdot 10} to 9^{6-5} \cdot 10^{2-1} = 9^1 \cdot 10^1 = 90. 2. Raise the simplified base to the power of 3 Calculate (90)^3.

Explanation

1. Simplify the base expression<br /> Simplify $\frac{9^6 \cdot 10^2}{9^5 \cdot 10}$ to $9^{6-5} \cdot 10^{2-1} = 9^1 \cdot 10^1 = 90$.<br />2. Raise the simplified base to the power of 3<br /> Calculate $(90)^3$.
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