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

1 A Find The Value Of 4912 class=

Sagot :

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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]

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