What is (3x^3y^3)(7x^3y^3) ?

The solution to (3x^3y^3)(7x^3y^3) is 21x^6y^6

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simplify (3x^3y^3)(7x^3y^3)

simplify

(3 x^{3} y^{3}) (7 x^{3} y^{3})

21 x^{6} y^{6}

Solution steps

(3 x^{3} y^{3}) (7 x^{3} y^{3})

Apply exponent rule:

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

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

= 3 y^{3} \cdot 7 x^{3 + 3} y^{3}

Add the numbers:

3 + 3 = 6

= 3 y^{3} \cdot 7 x^{6} y^{3}

Apply exponent rule:

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

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

= 3 \cdot 7 x^{6} y^{3 + 3}

Add the numbers:

3 + 3 = 6

= 3 \cdot 7 x^{6} y^{6}

Multiply the numbers:

3 \cdot 7 = 21

= 21 x^{6} y^{6}

14.5 e^{- 0.027 t}

0.1 e^{- 0.1 (5)}

(155) (36)

2 π \cdot 10 \cdot 1 0^{6}