What is (7x^2y^3)(3x^5y^8) ?

The solution to (7x^2y^3)(3x^5y^8) is 21x^7y^{11}

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simplify (7x^2y^3)(3x^5y^8)

simplify

(7 x^{2} y^{3}) (3 x^{5} y^{8})

21 x^{7} y^{11}

Solution steps

(7 x^{2} y^{3}) (3 x^{5} y^{8})

Apply exponent rule:

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

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

= 7 y^{3} \cdot 3 x^{2 + 5} y^{8}

Add the numbers:

2 + 5 = 7

= 7 y^{3} \cdot 3 x^{7} y^{8}

Apply exponent rule:

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

y^{3} y^{8} = y^{3 + 8}

= 7 \cdot 3 x^{7} y^{3 + 8}

Add the numbers:

3 + 8 = 11

= 7 \cdot 3 x^{7} y^{11}

Multiply the numbers:

7 \cdot 3 = 21

= 21 x^{7} y^{11}

128 x^{2} + 96 x y + 18 y^{2}

∣ 7 x - 1 ∣ > 10 x - 2

4 x + 8 = 7.2 + 5 x

9 x^{2} (4 x^{2} - 3) - 4 (4 x^{2} - 3)

\frac{x}{3} > 3 + \frac{10}{3 x}