What is (5x^3y^4)(3x^5y^4) ?

The solution to (5x^3y^4)(3x^5y^4) is 15x^8y^8

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simplify (5x^3y^4)(3x^5y^4)

simplify

(5 x^{3} y^{4}) (3 x^{5} y^{4})

15 x^{8} y^{8}

Solution steps

(5 x^{3} y^{4}) (3 x^{5} y^{4})

Apply exponent rule:

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

x^{3} x^{5} = x^{3 + 5}

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

Add the numbers:

3 + 5 = 8

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

Apply exponent rule:

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

y^{4} y^{4} = y^{4 + 4}

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

Add the numbers:

4 + 4 = 8

= 5 \cdot 3 x^{8} y^{8}

Multiply the numbers:

5 \cdot 3 = 15

= 15 x^{8} y^{8}

8.114 x 1 0^{- 3}

e^{- \frac{500}{1000} 1.111}

5 x^{2} (5 x^{2})

2.71 \cdot 1 0^{- 6}

- \frac{15}{2}