Question

Evaluate (2^-5÷2^-2)

Plz give verified and clear answer so l will mark u brainliest. ​

The answer should be 1/8
​

Answer 1

$\huge\mathcal\colorbox{lavender}{{\color{b}{✿Yøur-Añswer♡}}}$

$\large\bf{\underline{\red{VERIFIED✔}}}$

By the Formula:-

$= > {a}^{m} \div {a}^{n} = {a}^{m - n} \\ = > {2}^{ - 5} \div {2}^{ - 2} \\ = > {2}^{( - 5) - ( - 2)} \\ = > {2}^{ - 3}$

$\boxed{I \:Hope\: it's \:Helpful}$

${\sf{\bf{\blue{@ℐᴛz ᴅɪɴᴜ࿐}}}}$

Answer 2

$\huge\mathfrak\red{question}$

$\sf\orange{ Evaluate \: ( 2^{-5} \div 2^{-2} })$

$\huge\sf\green{Answer}$

$( {2}^{ - 5} \div {2}^{ - 2} ) = ( \frac{1}{ {2}^{5} } \div \frac{1}{ {2}^{2} } )$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = ( \frac{ 1}{ {2}^{5} } \times \frac{ {2}^{2} }{1} )$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ {2}^{2} }{ {2}^{5} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{ {2}^{3} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{8}$

$\large\sf\pink{formulas \: used }$

• ${x}^{ - n} = \frac{1}{ {x}^{n} }$
• $\frac{1}{a} \div \frac{1}{b} = \frac{1}{a} \times \frac{b}{1}$
• $\frac{ {a}^{m} }{ {a}^{n} } = {a}^{(m-n )}$
• $\frac{1}{ {a}^{3} } = \frac{1}{a \times a \times a}$