[tex]\text{Hey there!}[/tex]
[tex]\bf{Which\ expressions\ are\ equivalent\ to\ \dfrac{2^5}{6^5}?}[/tex]
[tex]\bf{First:\ 2^5=2\times2\times2\times2\times2=4\times4\times2=16\times2\rightarrow32}[/tex]
[tex]\rightarrow\bf{2^5=32}[/tex]
[tex]\bf{Second: \ 6^5 = 6\times6\times6\times6\times6=36\times36\times2 = 1296\times6\rightarrow7,776}[/tex]
[tex]\rightarrow\bf{6^5=7,776}[/tex]
[tex]\bf{You\ can\ convert\ your\ new\ equation \ to (\text{ If this is helpful to you}):}\\\bf{\dfrac{32}{7,776}}[/tex]
[tex]\mathsf{\dfrac{32\div32}{7776\div32}}\\\\\mathsf{32\div32 = 1\leftarrow Your\ numerator}\\\\\mathsf{7,776\div32=243\leftarrow Your\ denominator}\\\\=\dfrac{1}{243}\\\\\boxed{\mathsf{Answer\#1: \dfrac{32}{7,776}}}\checkmark\\\\\boxed{\mathsf{Answer\#2:\dfrac{1}{243}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
