Simplify and write in exponential forms .( 2 power 5 - 2 power 8 ) ×

1.	Simplify and write in exponential forms .( 2 power 5 - 2 power 8 ) × 2 power -5
Answer» $\Large \fbox \red {Question \: :}$ Simplify and WRITE in exponential forms : $( {2}^{5} - {2}^{8} ) \times {2}^{ - 5}$ $\Large \fbox \red {<klux>ANSWER</klux> \: :}$ $( {2}^{5} - {2}^{8} ) \times {2}^{ - 5}$ First we have to FACTORIZE $( {2}^{5} - {2}^{8} )$ $= {2}^{5} (1 - {2}^{3} )$ $= 32(1 - 8)$ $= 32 \times - <klux>7</klux>$ $= - 224$ Then, we have to multiply the equation. $= - 224 \times {2}^{ - 5}$ $= - 224 \times( \frac{1}{2} ) {}^{5}$ $= - 224 \times \frac{1}{32}$ $= - 7$ $\implies$ So, our answer is - 7. _____________________ $\textbf \pink {HOPE IT HELPS}$ ❤️ $\textbf \blue {THNKX MY ANSWERS}$ ❤️ $\huge \green {Brainliest \: please}$ ✌️