Question

Drag values to complete each equation.
y5y3−(y−2)4
=
(y−2)4+y3y5

Answer 1

For the expression y5y3−(y−2)4 the correct value is in the first tile, and for the expression (y−2)4+y3y5 the correct value is in the fifth tile.

What is integer exponent?

Exponents that should be integers are known as integer exponents in mathematics. It could be either a positive or negative integer. The positive integer exponents specify how many times the base number should be multiplied by itself in this case.

We have:

$=\rm y^5y^3-(y^{-2})^4$

$= \rm y^{5+3}-(y^{-2\times4})$

$= \rm y^{8}-(y^{-8})$

$= \rm y^{8}-\dfrac{1}{y^{8}}$

$\rm y^5y^3-(y^{-2})^4 = y^{8}-\dfrac{1}{y^{8}}$

Similarly,

$\rm (y^{-2})^4 + \dfrac{y^3}{y^{5}} = \rm \dfrac{1}{y^{8}} + \dfrac{1}{y^{2}}$

Thus, for the expression y5y3−(y−2)4 the correct value is in the first tile, and for the expression (y−2)4+y3y5 the correct value is in the fifth tile.

Learn more about the integer exponent here:

https://brainly.com/question/4533599

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