Question

please answer
I will mark the first one as brainliest​

Answer 1

$\bf{\dfrac{2^{-3}*5^{-3}*16^2*25}{5^4*2^{-5}}}\\\\\implies \bf{\dfrac{16^2*25*2^5}{5^4*2^3*5^3}}\\\\\implies \bf{\dfrac{(4^2)^2*5^2*2^5}{5^7*2^3}}\\\\\implies \bf{\dfrac{2^{13}*5^2}{2^3*5^7}}\\\\\implies \bf{\dfrac{2^{10}}{5^5}}\\\\\implies \bf{2^{10}*5^{-5}}$

$\bigstar$ Identities used :

$\bf{a^m.a^n=a^{m+n}}\\\\\bf{\dfrac{a^m}{a^n}=a^{m-n} }\\\\\bf{a^{-m}=\dfrac{1}{a^m}}$

Answer 2

Hi Mate!

Here is your Answer:

Hope you are aware of the identities. Some identities used:

${a}^{m} \times {a}^{n} = {a}^{m + n} \\ {a}^{m} \div {a}^{n} = {a}^{m - n} \\ {a}^{ - m} = \frac{1}{ {a}^{ + m} }$