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

The solution to (3x^7y^4)(5x^2y^3) is 15x^9y^7

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

simplify

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

15 x^{9} y^{7}

Solution steps

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

Apply exponent rule:

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

x^{7} x^{2} = x^{7 + 2}

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

Add the numbers:

7 + 2 = 9

= 3 y^{4} \cdot 5 x^{9} y^{3}

Apply exponent rule:

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

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

= 3 \cdot 5 x^{9} y^{4 + 3}

Add the numbers:

4 + 3 = 7

= 3 \cdot 5 x^{9} y^{7}

Multiply the numbers:

3 \cdot 5 = 15

= 15 x^{9} y^{7}

(x h^{2}) \cdot h

e^{- 2.22018}

\frac{28. 2 ^{n}}{12. 6 ^{n}}

15 e^{- 3 x} \cdot 4 e^{- 3 x}

e^{- 16.75}