Question

A) 20х⁴y²×100x⁵y⁷b) 20x²y⁴×(-3x¹⁸y)​

Answer 1

Ответ:

$a) 20x^{4} y^{2} *100x^{5} y^{7} =2000x^{4+5} y^{2+7} =2000x^{9}y^{9}$

$b) 20x^{2} y^{4} *(-3x^{18}y) =-60x^{2+18}y^{4+1} =-60x^{20} y^{5}$

Объяснение:

Answer 2

Let's simplify the given expressions:

A) 20x⁴y² × 100x⁵y⁷

To multiply two exponential terms with the same base, we add their exponents:

20x⁴y² × 100x⁵y⁷ = 20 × 100 × x⁴ × x⁵ × y² × y⁷ = 2000x⁹y⁹

So, the simplified form of expression A) is 2000x⁹y⁹.

B) 20x²y⁴ × (-3x¹⁸y)

Similarly, multiplying the terms:

20x²y⁴ × (-3x¹⁸y) = 20 × (-3) × x² × x¹⁸ × y⁴ × y = -60x²⁺¹⁸y⁴⁺¹

Simplifying the exponents:

-60x²⁺¹⁸y⁴⁺¹ = -60x²⁺¹⁸y⁵

Therefore, the simplified form of expression B) is -60x²⁺¹⁸y⁵.