(3/4)3*(-5/2)3*(2/3)5
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Answer:
(3/4)3*(-5/2)3*(2/3)5=
=(9/4)*(-15/2)*(10/3)
multiply
(9/4)*(-150/6)
(9/4)*(-24)
9*(-6)=(-54)
therefore answer is -54
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Class 7
>>Maths
>>Exponents and Powers
>>Using Exponents
>>Simplify the following and express as a
Question

Simplify the following and express as a rational number:
{(−3/4)3−(−5/2)3}×42
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Updated on : 2022-09-05
Solution

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We have,
={−33/43)−(53/23)}×16
={(−27/64)−(−125/8)}×16
First we find the difference of {(−27/64)−(125/8)}
LCM of 64 and 8 is 64
⇒(−27×1)/(64×1)=(−27/64)
and ⇒(125×8)/(8×8)=(1000/64)
Now,
=(1000−(−27))/64
=(1000+27)/64
=(973/64)
So,
=(973/64)×16
=(973/4)
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