the questions are below

So, when ever you need to multiply or divide exponents, and if the base is the same, you can just add or subtract the exponents:
a) 3^2 * 3^2 = 3^2+2 = 3^4 = 81
b) 7^1 * 7^4 = 7^1+4 = 7^5 = 16807
c) 10^9 / 10^7 = 10^9-7 = 10^2 = 100
d) 5^8 / 5^1 = 5^8-1 = 5^7 = 78125
[tex]\text{Hey there!}[/tex]
[tex]\mathsf{Side\ note(s)\downarrow}[/tex]
[tex]\mathsf{3^2\rightarrow 3\times3\rightarrow9}[/tex]
[tex]\mathsf{7^4\rightarrow7\times7\times7\times7\rightarrow49\times49\rightarrow2,401}[/tex]
[tex]\mathsf{10^9\rightarrow10\times10\times10\times10\times10\times10\times10\times10\times10\rightarrow1,000,000,000}[/tex]
[tex]\mathsf{10^7\rightarrow10\times10\times10\times10\times10\times10\times10\rightarrow 10,000,000}[/tex]
[tex]\mathsf{5^8\rightarrow 5\times5\times5\times5\times5\times5\times5\times5\rightarrow390625}[/tex]
[tex]\bullet\ \bf{A.\ }\mathsf{3^2\times3^2=81}[/tex] [tex]\checkmark[/tex]
[tex]\bullet \ \bf{B.}\mathsf{7\times7^4=16,807}[/tex][tex]\checkmark[/tex]
[tex]\bullet \ \bf{C.}\mathsf{10^9\div10^7=100}[/tex][tex]\checkmark[/tex]
[tex]\bullet \ \bf{D.}\mathsf{5^8\div5=78,125}[/tex][tex]\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]