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

Answer

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Answer

Therefore, the expression equivalent to $5^{10} \cdot 5^{5}$ is $\boxed{5^{15}}$.

Steps

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 $\boxed{5^{15}}$.