6.1 Flashcardizz

Front

Simplify: (x³ ⋅ y⁴ ⋅ z)³ ⋅ (x⁵ ⋅ y ⋅ z³)²

Back

x¹⁹ y¹⁴ z⁹

Front

Definition of a monomial

Back

A monomial is a polynomial with only one term.

Front

Definition of a polynomial

Back

A polynomial is an expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What is the product of powers property?

Back

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

Front

What is the power of a product property?

Back

When raising a product to a power, raise each factor to the power: (ab)ⁿ = aⁿbⁿ.

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*n).

Front

Simplify: (x²)⁴

Back

x^8

Front

Simplify: (3x²y)²

Back

9x^4y²

Front

What is the zero exponent rule?

Back

Any non-zero base raised to the power of zero equals one: a^0 = 1.

Front

What is the definition of a coefficient?

Back

A coefficient is a numerical factor in a term of a polynomial.