Operations on Polynomials and Exponents Rules

Front

What is the power of a product rule in exponents?

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 power rule in exponents?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the power of a quotient rule in exponents?

Back

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

Front

Simplify the expression: (x^2y)^3

Back

x^6y^3.

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 negative exponent rule?

Back

A negative exponent indicates the reciprocal: a^(-n) = 1/a^n.

Front

Simplify the expression: (2x^3)(3x^2)

Back

6x^5.

Front

What is the distributive property?

Back

a(b + c) = ab + ac.

Front

Simplify the expression: -3x^2(7x^2 - x + 4)

Back

-21x^4 + 3x^3 - 12x^2.

Front

Simplify the expression: (3x - 5)(4x^2 - 2x - 3)

Back

12x^3 - 26x^2 + 15.