1
a) Find the value of 49^-1/2

Answer:
[tex]49 ^{ - \frac{1}{2} } \\ (7 ^{2} ) ^{ - \frac{1}{2} } \\ 7 ^{2 \times - \frac{1}{2} } \\ 7 ^{ \frac{ - 2}{2} } \\ 7^{ - 1} \\ \frac{1}{7 ^{1} } \\ \frac{1}{7} [/tex]
Answer:
± [tex]\frac{1}{7}[/tex]
Step-by-step explanation:
Using the rules of exponents
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] , [tex]a^{\frac{1}{2} }[/tex] = [tex]\sqrt{a}[/tex] , then
[tex]49^{-\frac{1}{2} }[/tex] = [tex]\frac{1}{49^{\frac{1}{2} } }[/tex] = [tex]\frac{1}{\sqrt{49} }[/tex] = ± [tex]\frac{1}{7}[/tex]