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Simplifying Expressions

1) Simplify (7x^3y^2 + 4x^2y^2 - 5xy^2) - (2x^3y^2 - 3x^2y^2 + 3xy^2)

2) Simplify (6^-2x^3y^-4)2 divided by 2^-4x^3y^-4

3) Simplify (4u -5v)^2

4) Simplify 2 X 10^7 divided by 5 X 10^-2 and how do you write in Scientific notation?

5) Evaluate:

a) SR (8/81)
b) -(25)^(-3/2)

Solution Preview

Hi, here is the solution...

1) Simplify (7x^3y^2 + 4x^2y^2 - 5xy^2) - (2x^3y^2 - 3x^2y^2 + 3xy^2)

Solution

7x^3y^2 + 4x^2y^2 - 5xy^2 - 2x^3 y^2 + 3 x^2 y^2 - 3 xy^2 [Distributed the negative sign]

= 5x^3 y^2 +7x^2 y^2 - 8xy^2 [Simliplied the like terms]

2) Simplify (6^-2x^3y^-4)^2 divided by 2^-4x^3y^-4 ...

Solution Summary

Expressions are simplified.

$2.19