Question

Which of the following is equal to (3^-3)(3^7)? 3 ^-10 3 ^10 3 ^4 3 ^-4

Answer 1

Answer:

3⁴

Step-by-step explanation:

Hey there! To evaluate $\displaystyle \large{3^{-3} \cdot 3^7}$, we can simply do by using one of exponent laws.

Laws of Exponent

$\displaystyle \large{a^m \cdot a^n = a^{m+n}}$

Hence, let m = -3 and n = 7. Therefore, $\displaystyle \large{3^{-3} \cdot 3^7 = 3^{-3+7} \to 3^4}$

Let me know if you have any questions regarding the exponent!