What is (3x^4y^6)(8x^5y^5) ?

The solution to (3x^4y^6)(8x^5y^5) is 24x^9y^{11}

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simplify (3x^4y^6)(8x^5y^5)

simplify

(3 x^{4} y^{6}) (8 x^{5} y^{5})

24 x^{9} y^{11}

Solution steps

(3 x^{4} y^{6}) (8 x^{5} y^{5})

Apply exponent rule:

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

x^{4} x^{5} = x^{4 + 5}

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

Add the numbers:

4 + 5 = 9

= 3 y^{6} \cdot 8 x^{9} y^{5}

Apply exponent rule:

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

y^{6} y^{5} = y^{6 + 5}

= 3 \cdot 8 x^{9} y^{6 + 5}

Add the numbers:

6 + 5 = 11

= 3 \cdot 8 x^{9} y^{11}

Multiply the numbers:

3 \cdot 8 = 24

= 24 x^{9} y^{11}

3^{2 x + 1}

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

(x^{4} y^{2}) (x y^{8})

- e^{- a t} t sinh (t b)

0.45 \cdot (\frac{15}{44})^{- 1}