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42 votes
42 votes
Find the value of (9/16) ^ - 1/2

User Jiy
by
2.7k points

1 Answer

26 votes
26 votes

Answer:

4/3

Explanation:

Given:


\displaystyle \large{\left((9)/(16)\right)^{-(1)/(2)}}

From the law of exponent:


\displaystyle \large{a^{-(1)/(2)}=(1)/(√(a))}

Convert to the form above:


\displaystyle \large{\left((9)/(16)\right)^{-(1)/(2)}=\frac{1}{\sqrt{(9)/(16)}}}\\\displaystyle \large{\left((9)/(16)\right)^{-(1)/(2)}=(1)/((3)/(4))}\\\displaystyle \large{\left((9)/(16)\right)^{-(1)/(2)}=(4)/(3)}

Therefore, the solution is 4/3

User Mculhane
by
2.9k points