What is (6x^4y^5)(7x^4y^5) ?

The solution to (6x^4y^5)(7x^4y^5) is 42x^8y^{10}

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simplify (6x^4y^5)(7x^4y^5)

simplify

(6 x^{4} y^{5}) (7 x^{4} y^{5})

42 x^{8} y^{10}

Solution steps

(6 x^{4} y^{5}) (7 x^{4} y^{5})

Apply exponent rule:

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

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

= 6 y^{5} \cdot 7 x^{4 + 4} y^{5}

Add the numbers:

4 + 4 = 8

= 6 y^{5} \cdot 7 x^{8} y^{5}

Apply exponent rule:

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

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

= 6 \cdot 7 x^{8} y^{5 + 5}

Add the numbers:

5 + 5 = 10

= 6 \cdot 7 x^{8} y^{10}

Multiply the numbers:

6 \cdot 7 = 42

= 42 x^{8} y^{10}

e^{- l n (x^{2} + 1)}

2 (1.72 \cdot 1 0^{- 3})

- \frac{11}{2}

(3.35 x 1 0^{- 5}) \cdot 9.81

3.85 x 1 0^{- 4}