Problem

Which expression is equivalent to $5^{10} \cdot 5^{5}$ ? $5^{2}$ $5^{5}$ $5^{15}$ $5^{50}$

Solution

Step 1 :The question is asking for the equivalent expression of \(5^{10} \cdot 5^{5}\).

Step 2 :From the laws of exponents, we know that when multiplying two exponents with the same base, we add the exponents.

Step 3 :So, \(5^{10} \cdot 5^{5}\) is equivalent to \(5^{10+5}\).

Step 4 :Therefore, the expression equivalent to \(5^{10} \cdot 5^{5}\) is \(\boxed{5^{15}}\).

From Solvely APP
Source: https://solvelyapp.com/problems/22876/

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