QuestionAugust 24, 2025

Which expression is equivalent to 2^6cdot 5^6 10^12 (10^9)/(10^3) (1)/(10^6) 10^36

Which expression is equivalent to 2^6cdot 5^6 10^12 (10^9)/(10^3) (1)/(10^6) 10^36
Which expression is equivalent to 2^6cdot 5^6 10^12 (10^9)/(10^3) (1)/(10^6) 10^36

Solution
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Answer

10^6 Explanation 1. Apply the property of exponents Recognize that 2^6 \cdot 5^6 = (2 \cdot 5)^6 by using the property **(a^m \cdot b^m) = (a \cdot b)^m**. 2. Simplify the expression Calculate (2 \cdot 5)^6 = 10^6.

Explanation

1. Apply the property of exponents<br /> Recognize that $2^6 \cdot 5^6 = (2 \cdot 5)^6$ by using the property **$(a^m \cdot b^m) = (a \cdot b)^m$**.<br />2. Simplify the expression<br /> Calculate $(2 \cdot 5)^6 = 10^6$.
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