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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​​

Respuesta :

Answer:

B. 3^(-5) and D. 2^5 × 6^(-5)

Step-by-step explanation:

Recall that [tex]\displaystyle\\x^{-n}=\frac{1}{x^n}[/tex]

Manipulating, we get:

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

Answer choices B and D

Answer:

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

Step-by-step explanation: