What is (3x^2y^3)(5x^8y^7) ?

The solution to (3x^2y^3)(5x^8y^7) is 15x^{10}y^{10}

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simplify (3x^2y^3)(5x^8y^7)

simplify

(3 x^{2} y^{3}) (5 x^{8} y^{7})

15 x^{10} y^{10}

Solution steps

(3 x^{2} y^{3}) (5 x^{8} y^{7})

Apply exponent rule:

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

x^{2} x^{8} = x^{2 + 8}

= 3 y^{3} \cdot 5 x^{2 + 8} y^{7}

Add the numbers:

2 + 8 = 10

= 3 y^{3} \cdot 5 x^{10} y^{7}

Apply exponent rule:

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

y^{3} y^{7} = y^{3 + 7}

= 3 \cdot 5 x^{10} y^{3 + 7}

Add the numbers:

3 + 7 = 10

= 3 \cdot 5 x^{10} y^{10}

Multiply the numbers:

3 \cdot 5 = 15

= 15 x^{10} y^{10}

- 33 (52)

(6 x^{3} - 6 y - 2 x y^{3}) 4 x^{4} y^{4}

2 e^{3 t} \cdot (- 2) e^{2 t}

e^{- 16.66} \cdot 16.6 6^{10}

e^{x^{2}} e^{2 x + 1}

What is (3x^2y^3)(5x^8y^7) ?
The solution to (3x^2y^3)(5x^8y^7) is 15x^{10}y^{10}