Simplify \(\frac{9^{-\frac{1}{2}}}{27^{\frac{2}{3}}}\)
a
1
b
1/3
c
1/9
d
1/18
e
1/27
Explanation
Correct Option
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Discussions (22)

redemption praise
10 years ago
The selected answer is wrong:
please stop misleading student the option is wrong

timilehinadeola
9 years ago
The selected answer is wrong:
9^1\2|27^2/3 = 3^2*1/2|3^3*2\3 =3^1|3^2 = 3|9 = 1|3

Mrnoah
1 year ago
To simplify the expression:
9^(-1/2) / 27^(2/3)
First, simplify the exponents:
9^(-1/2) = 1 / √9
= 1 / 3
27^(2/3) = (√27)²
= (3)²
= 9
Now, divide:
(1 / 3) / 9
= 1 / (3 × 9)
= 1 / 27
Therefore, the simplified expression is:
1/27

Harun101
9 years ago
The answer is 1/3
EXPLANATION
½ means square root
Nd the square root of 9=3
⅓ means cube root
Nd the cube root of 27=3
3²=9
.'. 3÷9=⅓

Toluwanidotun
4 years ago
It is actually correct.
9^-1/2 ÷27^2/3
since it is minus 1/√9×1/(³√27)²
the ans is 1/27






