Question

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

Answer 1

3⁴

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!