What is (3x^2y^3)*(5/2 x^2y^3) ?

The solution to (3x^2y^3)*(5/2 x^2y^3) is (15x^4y^6)/2

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simplify (3x^2y^3)*(5/2 x^2y^3)

simplify

(3 x^{2} y^{3}) \cdot (\frac{5}{2} x^{2} y^{3})

\frac{15 x ^{4} y ^{6}}{2}

Solution steps

(3 x^{2} y^{3}) (\frac{5}{2} x^{2} y^{3})

Apply exponent rule:

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

x^{2} x^{2} = x^{2 + 2}

= 3 y^{3} \frac{5}{2} x^{2 + 2} y^{3}

Add the numbers:

2 + 2 = 4

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

Apply exponent rule:

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

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

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

Add the numbers:

3 + 3 = 6

= 3 \cdot \frac{5}{2} x^{4} y^{6}

Multiply fractions:

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

= \frac{5 \cdot 3 x ^{4} y ^{6}}{2}

Multiply the numbers:

5 \cdot 3 = 15

= \frac{15 x ^{4} y ^{6}}{2}

20 e^{- 2 (0.5)}

e^{- 2 t} sin (a t)

e^{- 0.049}

e^{- 0.02 x}

5.3 \cdot 1 0^{- 2} \cdot 25

What is (3x^2y^3)*(5/2 x^2y^3) ?
The solution to (3x^2y^3)*(5/2 x^2y^3) is (15x^4y^6)/2