Question

¿qué expresión es equivalente a $5^5$? $25 \cdot 5 \cdot 5 \cdot 5$ $125 \cdot 125$ $6 \cdot 5$ $36 \cdot 6 \cdot 6 \cdot 6$

Explanation:

Step1: Recall exponent definition

$a^n$ means multiplying $a$ by itself $n$ times. So $5^5 = 5\times5\times5\times5\times5$.

Step2: Simplify $25$ as $5^2$

$25 = 5^2$, so $25\cdot5\cdot5\cdot5 = 5^2\cdot5\cdot5\cdot5$.

Step3: Apply exponent addition rule

When multiplying exponents with the same base, add the exponents: $5^2\cdot5\cdot5\cdot5 = 5^{2 + 1+1+1}=5^5$.
Check other options:

• $125\cdot125 = 5^3\cdot5^3 = 5^6

eq5^5$.

• $6\cdot5 = 30

eq5^5$.

• $36\cdot6\cdot6\cdot6 = 6^2\cdot6\cdot6\cdot6 = 6^5

eq5^5$.

Answer:

$25\cdot5\cdot5\cdot5$