By what number should (-2/3)^-3 be divided so that the quotient may be (4/3(^-2
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Solution:
Let the number = x
(-2/3)^-3/x = (4/3)^-2
=> (-3/2)³/x = (3/4)²
=>[ (-3)³/2³ ]/(3/4)² = x
=> [(-3³)/2³ × (4/3)²] = x
=> [-3³×4²]/(2³×3²) = x
=> (-3× 16)/8 = x
=> (-3)×2 = x
=> x = -6
Therefore,
x = -6
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