Exponents and Polynomials 4.1

Front

The polynomial 3x^2 is a _____ with a degree of __.

Back

monomial, 2

Front

Simplify: \(\sqrt{28m}\)

Back

\(2\sqrt{7m}\)

Front

Simplify: \(\frac{3xy^2\cdot4x^4y^2}{2x^2y^{-2}}\) (Your answer should contain only positive exponents)

Back

\(6x^3y^6\)

Front

What is the result of simplifying \(\frac{(m^3n^4)^{-3}}{n\cdot2m^2}\)?

Back

\(\frac{1}{2m^{11}n^{13}}\)

Front

Define a monomial.

Back

A monomial is a polynomial with only one term.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

What is the product of powers property?

Back

When multiplying two powers with the same base, add the exponents: \(a^m \cdot a^n = a^{m+n}\).

Front

What is the quotient of powers property?

Back

When dividing two powers with the same base, subtract the exponents: \(\frac{a^m}{a^n} = a^{m-n}\).

Front

What is the power of a power property?

Back

When raising a power to another power, multiply the exponents: \((a^m)^n = a^{m\cdot n}\).

Front

What is a polynomial?

Back

A polynomial is an expression consisting of variables raised to non-negative integer powers and coefficients.