What is (3x^2y)(15y^7z^3) ?

The solution to (3x^2y)(15y^7z^3) is 45x^2y^8z^3

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simplify (3x^2y)(15y^7z^3)

simplify

(3 x^{2} y) (15 y^{7} z^{3})

45 x^{2} y^{8} z^{3}

Solution steps

(3 x^{2} y) (15 y^{7} z^{3})

Apply exponent rule:

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

y y^{7} = y^{1 + 7}

= 3 x^{2} \cdot 15 y^{1 + 7} z^{3}

Add the numbers:

1 + 7 = 8

= 3 x^{2} \cdot 15 y^{8} z^{3}

Multiply the numbers:

3 \cdot 15 = 45

= 45 x^{2} y^{8} z^{3}

- 4 a^{5} (6 a^{5})

3 e^{- 0.05}

(e^{- 7}) (e^{- \frac{3}{2}})

\frac{- 42}{7}