Question

Divide the monomials. Is the result of division a monomial? If yes, write the monomial in standard form. -0.26a^(3)b^(6)-:(4(1)/(3)a^(3)b^(2))

Answer 1

To divide monomials, divide the coefficients and subtract the exponents. The result is a monomial written in standard form.

Step-by-step explanation:

To divide monomials, we need to divide the coefficients (numbers out front) and subtract the exponents of the variables.

In this case,

-0.26a³b⁶ ÷ (4(1/3)a³b²) = (-0.26 ÷ 4(1/3)) * (a³ ÷ a³) * (b⁶ ÷ b²) = (-0.783) * (1) * b(6-2) = -0.783b⁴.

The result of the division is a monomial, -0.783b⁴, written in standard form.