Question

A) -3а^5*4a^2b^7 б) (-2xy6)^4 B) (-3a^3y^4)^3

Answer 1

A). -3a⁵ * 4a²b⁷ = -12a⁷b⁷

б). (-2xy⁶)⁴ = 16x⁴y²⁴

в). (-3a³y⁴)³ = -27a⁹y¹²

Answer 2

A) -3a^5 * 4a^2b^7 To simplify this expression, we can use the properties of exponents. When multiplying two terms with the same base, we add the exponents. In this case, we have -3 * 4 = -12 and a^5 * a^2 = a^7. So, the simplified expression is -12a^7b^7.

B) (-2xy^6)^4 To simplify this expression, we raise each term inside the parentheses to the 4th power. (-2)^4 = 16 and (x^4)(y^6)^4 = x^4y^24. So, the simplified expression is 16x^4y^24.

C) (-3a^3y^4)^3 To simplify this expression, we raise each term inside the parentheses to the 3rd power. (-3)^3 = -27 and (a^3)^3 = a^9, (y^4)^3 = y^12. So, the simplified expression is -27a^9y^12.