Answer:
Options (a), (b), (e)
Step-by-step explanation:
a). [tex]\frac{5^{10}}{5^{8}}=5^{10-8}[/tex]
= 5²
True.
b). (4⁸)³ = [tex]4^{8}\times 4^8\times 4^8[/tex]
= [tex]4^{24}[/tex] [Since, [tex]x^{a}\times x^{b}\times x^c=x^{a+b+c}[/tex]]
True.
c). [tex]10^{-4}=\frac{1}{10^4}[/tex]
And [tex]\frac{1}{4^{10}}\neq \frac{1}{10^4}[/tex]
False.
d). [tex]15^{6}\times 15^{3}=15^{6+3}[/tex] [Since, [tex]x^{a}\times x^{b}=x^{a+b}[/tex]]
= 15⁹
And [tex]15^{9}\neq 15^{18}[/tex]
False.
e). [tex](6^{8})^{0}=1[/tex] [Since, a⁰ = 1]
True.
