What is (5x^3y^4)(6x^2y^3) ?

The solution to (5x^3y^4)(6x^2y^3) is 30x^5y^7

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simplify (5x^3y^4)(6x^2y^3)

simplify

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

30 x^{5} y^{7}

Solution steps

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

Apply exponent rule:

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

x^{3} x^{2} = x^{3 + 2}

= 5 y^{4} \cdot 6 x^{3 + 2} y^{3}

Add the numbers:

3 + 2 = 5

= 5 y^{4} \cdot 6 x^{5} y^{3}

Apply exponent rule:

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

y^{4} y^{3} = y^{4 + 3}

= 5 \cdot 6 x^{5} y^{4 + 3}

Add the numbers:

4 + 3 = 7

= 5 \cdot 6 x^{5} y^{7}

Multiply the numbers:

5 \cdot 6 = 30

= 30 x^{5} y^{7}

(5 x^{3} y) \cdot (3 x^{2} y^{5})

e^{- l n (x) y}

\frac{( 0.4 ) ^{- 2}}{( 0.2 ) ^{- 2}}

\frac{16}{π}^{2} \cdot π