What is (5x^7y^4)(2x^3y^5) ?

The solution to (5x^7y^4)(2x^3y^5) is 10x^{10}y^9

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simplify (5x^7y^4)(2x^3y^5)

simplify

(5 x^{7} y^{4}) (2 x^{3} y^{5})

10 x^{10} y^{9}

Solution steps

(5 x^{7} y^{4}) (2 x^{3} y^{5})

Apply exponent rule:

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

x^{7} x^{3} = x^{7 + 3}

= 5 y^{4} \cdot 2 x^{7 + 3} y^{5}

Add the numbers:

7 + 3 = 10

= 5 y^{4} \cdot 2 x^{10} y^{5}

Apply exponent rule:

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

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

= 5 \cdot 2 x^{10} y^{4 + 5}

Add the numbers:

4 + 5 = 9

= 5 \cdot 2 x^{10} y^{9}

Multiply the numbers:

5 \cdot 2 = 10

= 10 x^{10} y^{9}

9.81 x 1 0^{- 9}

10 \cdot 1 0^{- 6} \cdot 0.0001

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

a^{2} (a - 3) (a + 2)^{3} (a - 4)^{3}

e^{- 0.002738 x}