Answer:
Step-by-step explanation:
1 × a = a
a² = a*a ; a³ = a*a*a .....
[tex](\frac{a}{b}) ^{n} = \frac{a^{n} }{b^{n} }[/tex]
(1).
(a). [tex]7^{5}[/tex]
(b). [tex](\frac{1}{7}) ^{6}[/tex] = [tex]\frac{1}{7^{6} }[/tex]
(c). [tex](9.3)^{9}[/tex]
(2).
(e). [tex](\frac{1}{2} )^{4} =\frac{1}{2^{4} }[/tex] = [tex]\frac{1}{2*2*2*2}[/tex] = [tex]\frac{1}{16}[/tex]
(f). [tex](\frac{1}{3} )^{2}[/tex] = [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{1}{9}[/tex]
(3).
x² = 30² + 16² = 900 + 256 = 1156 = 34² ⇒ x = 34 units
