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Nana76 [90]
3 years ago
11

Apply the power of a power property to simplify y 4/3• y 2/3 - 1/2 = y2- - 1/2 =

Mathematics
2 answers:
prohojiy [21]3 years ago
8 0

Answer:

y^{ \frac{3}{2}}

Step-by-step explanation:

<em>From the question posted, you've already initiated the solution but you applied a wrong approach;</em>

Given

y^{\frac{4}{3}} . y^{\frac{2}{3} - \frac{1}{2}}

Required

Simplify; using power property

<em>Power property states that;</em>

a^m.a^n = a^{m+n}

a^m/a^n = a^{m-n}

By comparison; we have to apply the first property;

This is shown below;

y^{\frac{4}{3}+\frac{2}{3} - \frac{1}{2}}

Add fraction of the same numerator

y^{\frac{4+2}{3} - \frac{1}{2}}

y^{\frac{6}{3} - \frac{1}{2}}

y^{2 - \frac{1}{2}}

Subtract fraction

y^{ \frac{4-1}{2}}

y^{ \frac{3}{2}}

The expression y^{\frac{4}{3}} . y^{\frac{2}{3} - \frac{1}{2}} is equivalent to y^{ \frac{3}{2}}

Strike441 [17]3 years ago
3 0

Answer:

1/y

Step-by-step explanation:

got it right on edge2020

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