Question

Simplify
5^-5×15^-5×64/2^-5×3^-5​

Answer 1

Answer:

$\dfrac{2048}{9765625}$

Step-by-step explanation:

$\dfrac{5^{-5}\times \:15^{-5}\times \:64}{2^{-5}\times \:3^{-5}}$

$=\dfrac{5^{-5}\times \:3^{-5}\times \:5^{-5}\times \:2^6}{2^{-5}\times \:3^{-5}}$

$=\dfrac{3^{-5}\times \:5^{-10}\times \:2^6}{2^{-5}\times \:3^{-5}}$

$=5^{-10}\times \:2^{11}$

$=2^{11}\times \dfrac{1}{5^{10}}$

$=\dfrac{2^{11}}{5^{10}}$

$=\dfrac{2048}{9765625}$

Answer 2

Answer:

A telescope is an optical instrument using lenses, curved mirrors, or a combination of both to observe distant objects, or various devices used to observe distant objects by their emission, absorption, or reflection of electromagnetic radiation.