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

The solution to (4x^3y^5)(5x^5y^4) is 20x^8y^9

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

simplify

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

20 x^{8} y^{9}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

3 + 5 = 8

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

Apply exponent rule:

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

y^{5} y^{4} = y^{5 + 4}

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

Add the numbers:

5 + 4 = 9

= 4 \cdot 5 x^{8} y^{9}

Multiply the numbers:

4 \cdot 5 = 20

= 20 x^{8} y^{9}

(6 b) (2 b^{2})

e^{- \frac{86400}{500}}

(a + 3 b)^{2} (a - 3 b)^{2}

- 4^{- 0.5} (2700)^{2}