What is 4x^{3a}y^2(3/8 x^ay^3) ?

The solution to 4x^{3a}y^2(3/8 x^ay^3) is (3y^5x^{4a})/2

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simplify 4x^{3a}y^2(3/8 x^ay^3)

simplify

4 x^{3 a} y^{2} (\frac{3}{8} x^{a} y^{3})

\frac{3 y ^{5} x ^{4 a}}{2}

Solution steps

4 x^{3 a} y^{2} (\frac{3}{8} x^{a} y^{3})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{3 a} x^{a} = x^{3 a + a}

= 4 y^{2} \frac{3}{8} x^{3 a + a} y^{3}

Add similar elements:

3 a + a = 4 a

= 4 y^{2} \frac{3}{8} x^{4 a} y^{3}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

y^{2} y^{3} = y^{2 + 3}

= 4 \cdot \frac{3}{8} x^{4 a} y^{2 + 3}

Add the numbers:

2 + 3 = 5

= 4 \cdot \frac{3}{8} x^{4 a} y^{5}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 \cdot 4 y ^{5}}{8} x^{4 a}

Simplify

\frac{3 \cdot 4 y ^{5}}{8} : \frac{3 y ^{5}}{2}

= \frac{3 y ^{5}}{2} x^{4 a}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 y ^{5} x ^{4 a}}{2}

e^{- t} \cdot e^{2 t}

[(4^{3})^{- 2}]^{- 3}

e^{t} e^{- 2 t}

e^{- 0.0001}

What is 4x^{3a}y^2(3/8 x^ay^3) ?
The solution to 4x^{3a}y^2(3/8 x^ay^3) is (3y^5x^{4a})/2