value of (-3/8)-3 × (4/9)-2
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Answered by
11
Given : ( -3/8)⁻³ x (4/9)⁻²
To Find : Value
Solution:
aⁿ = 1/ a⁻ⁿ
(a/b)ⁿ = (b/a)⁻ⁿ
(a/b)ⁿ = aⁿ/bⁿ
-1 raised to power odd number = - 1
-1 raised to power even number = 1
=> ( -3/8)⁻³ = ( - 8/3)³
= - 8³/3³
= - 512/27
(4/9)⁻² = (9/4)²
= 9²/4²
= 81/16
( -3/8)⁻³ x (4/9)⁻²
= (- 512/27 ) x (81/16)
= -32 x 3
= - 96
( -3/8)⁻³ x (4/9)⁻² = -96
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Answered by
0
Answer:
-96 is the correct answer
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