if 2160 equal to 2 to the power 9 into 3 to the power b into 5 to the power see the 3 to the power 9 into 2 to the power minus b into 5 to the power minus 3 is equal to what
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7th
Maths
Algebraic Expressions
Finding the Value of an Expression
If 2x × 3y × 5z = 2160, fi...
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Asked on November 22, 2019 by
Püja Sompura
If 2
x
×3
y
×5
z
=2160, find x, y and z. Hence, compute the value of 3
x
×2
−y
×5
−z
.
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Given,
2
x
×3
y
×5
z
=2160,
2160=2×2×2×2×3×3×3×5
2160=2
4
×3
3
×5
1
by comparision, we get,
x=4,y=3,z=1
3
x
×2
−y
×5
−z
=3
4
×2
−3
×5
−1
=
2
3
×5
3
4
=
40
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