What is (5x^5)(3y^6)(3x^2) ?

The solution to (5x^5)(3y^6)(3x^2) is 45x^7y^6

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simplify (5x^5)(3y^6)(3x^2)

simplify

(5 x^{5}) (3 y^{6}) (3 x^{2})

45 x^{7} y^{6}

Solution steps

(5 x^{5}) (3 y^{6}) (3 x^{2})

Apply exponent rule:

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

3 \cdot 3 = 3^{1 + 1}

= 5 x^{5} y^{6} \cdot 3^{1 + 1} x^{2}

Add the numbers:

1 + 1 = 2

= 5 x^{5} y^{6} \cdot 3^{2} x^{2}

Apply exponent rule:

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

x^{5} x^{2} = x^{5 + 2}

= 5 y^{6} \cdot 3^{2} x^{5 + 2}

Add the numbers:

5 + 2 = 7

= 5 y^{6} \cdot 3^{2} x^{7}

3^{2} = 9

= 5 \cdot 9 x^{7} y^{6}

Multiply the numbers:

5 \cdot 9 = 45

= 45 x^{7} y^{6}

5 x - 3 = - 13

0 = 2 x^{2} + 26 x + 72

\frac{2}{3} x - 4 = - \frac{2}{3} x + 8

\frac{6}{- 16}

\frac{1}{2} x = 12