Question

(4e^2m^2n^2)^3 записать одночлен в стандартном виде

Answer 1

Ответ: 64e⁶m⁶n⁶

Объяснение:

(cᵃ)ᵇ = cᵃᵇ

(ac)ᵇ = aᵇ * cᵇ

(4e²m²n²)³ = 64e⁶m⁶n⁶

Answer 2

To write the given expression as a single term in standard form, you can raise the entire expression inside the parentheses to the power of 3:

(4e^2m^2n^2)^3

To do that, you'll raise each component inside the parentheses (the coefficients and variables) to the power of 3:

(4^3)(e^2)^3(m^2)^3(n^2)^3

Now, calculate the exponents:

64e^(23)m^(23)n^(2*3)

Simplify further:

64e^6m^6n^6

So, the expression in standard form as a single term is:

64e^6m^6n^6