What is (5x^3y^4)(20x^7y^8) ?

The solution to (5x^3y^4)(20x^7y^8) is 100x^{10}y^{12}

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simplify (5x^3y^4)(20x^7y^8)

simplify

(5 x^{3} y^{4}) (20 x^{7} y^{8})

100 x^{10} y^{12}

Solution steps

(5 x^{3} y^{4}) (20 x^{7} y^{8})

Apply exponent rule:

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

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

= 5 y^{4} \cdot 20 x^{3 + 7} y^{8}

Add the numbers:

3 + 7 = 10

= 5 y^{4} \cdot 20 x^{10} y^{8}

Apply exponent rule:

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

y^{4} y^{8} = y^{4 + 8}

= 5 \cdot 20 x^{10} y^{4 + 8}

Add the numbers:

4 + 8 = 12

= 5 \cdot 20 x^{10} y^{12}

Multiply the numbers:

5 \cdot 20 = 100

= 100 x^{10} y^{12}

14 e^{- 0.02 (8)} \cdot (- 0.02)

4.9 \cdot 1 0^{- 4}

e^{- 1.28 \cdot (4 - 4.549)}

5.89 \cdot 1 0^{- 10}

e^{- \frac{1}{4}} (\frac{0.8}{2}) (\frac{1}{12}) (0.3048)

What is (5x^3y^4)(20x^7y^8) ?
The solution to (5x^3y^4)(20x^7y^8) is 100x^{10}y^{12}