Question

Which expressions are equivalent to 2^5/6^5

Choose 2 answers
A. 1/3
B. 3^-5
C. (-4)^-5
D. 2^5 x 6^-5​​

Answer 1

(B) 3^-5 and (D) 2^5 . 6^-5

Step-by-step explanation:

Answer 2

B. 3^(-5) and D. 2^5 × 6^(-5)

Explanation:

Recall that
`\displaystyle\\x^(-n)=(1)/(x^n)`

Manipulating, we get:

`\displaystyle \\(2^5)/(6^5)=\left((2)/(6)\right)^5=\left((1)/(3)\right)^5=\boxed{\text{B. }3^(-5)}=2^5\cdot (1)/(6^5)=\boxed{\text{D. }2^5\cdot 6^(-5)}`

⇒Answer choices B and D