What is (-5x^2)(2x^5)(-5x^2)(2x^5) ?

The solution to (-5x^2)(2x^5)(-5x^2)(2x^5) is 100x^{14}

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simplify (-5x^2)(2x^5)(-5x^2)(2x^5)

simplify

(- 5 x^{2}) (2 x^{5}) (- 5 x^{2}) (2 x^{5})

100 x^{14}

Solution steps

(- 5 x^{2}) (2 x^{5}) (- 5 x^{2}) (2 x^{5})

Simplify

(- 5 x^{2}) (- 5 x^{2}) : 25 x^{4}

= 25 x^{4} \cdot 2 x^{5} \cdot 2 x^{5}

Multiply the numbers:

25 \cdot 2 \cdot 2 = 100

= 100 x^{4} x^{5} x^{5}

Apply exponent rule:

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

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

= 100 x^{4 + 5 + 5}

Add the numbers:

4 + 5 + 5 = 14

= 100 x^{14}

1.886 \cdot \frac{\frac{2 ^{2} + 1 + 9}{2}}{3}

(25 + 4 a)^{2}

5 x \times 2 x \times (x^{3} - 3 x^{2} + x)

5 e^{- x^{2}} cos (4 x)

What is (-5x^2)(2x^5)(-5x^2)(2x^5) ?
The solution to (-5x^2)(2x^5)(-5x^2)(2x^5) is 100x^{14}