Simplify \(\frac{9^{-\frac{1}{2}}}{27^{\frac{2}{3}}}\)

a

1

b

1/3

c

1/9

d

1/18

e

1/27

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Explanation

Correct Option
e

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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

Adebayor75
9 years ago

The selected answer is totally wrong,the correct answer is 1/3

Sheyi98
12 years ago

Dis is wrong the answer is 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

tosatech
10 years ago

The selected answer is wrong:

1/3^2 =1/9 not 1/6

adeola victoria
11 years ago

no ans

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

the answer is meant to be 1/9

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

Chuks612
9 years ago

The answer is 1\3.

Richardawa
1 year ago

the answer is 1/3 not 1/27

Ibugbeoluwa
9 years ago

The selected answer is wrong:

(91/2)/(272/3)=1/3

The correct answer is 1/3

Pearlly1
1 month ago

the answer is 3
(1/3)/9=3
not 1/27
please correct this

Dharphiz
9 years ago

my school na olodo abeg go back to school if u no sabi dis simple question

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