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

The solution to (4x^3y^5)(6x^5y^3) is 24x^8y^8

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

simplify

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

24 x^{8} y^{8}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

3 + 5 = 8

= 4 y^{5} \cdot 6 x^{8} y^{3}

Apply exponent rule:

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

y^{5} y^{3} = y^{5 + 3}

= 4 \cdot 6 x^{8} y^{5 + 3}

Add the numbers:

5 + 3 = 8

= 4 \cdot 6 x^{8} y^{8}

Multiply the numbers:

4 \cdot 6 = 24

= 24 x^{8} y^{8}

6.7 \cdot 1 0^{- 7}

e^{- \frac{6.75}{4}}

(x^{2} - 2 x + 1) (x^{2} - 2 x + 1)

3^{3} e^{- 3}

\frac{e ^{n + 1}}{e ^{n}}