Powers of Monomials

Front

What is the power of a monomial?

Back

A power of a monomial is an expression where a monomial is raised to an exponent, indicating how many times to multiply the monomial by itself.

Front

Simplify: (x^3)^5

Back

x^15

Front

What is the rule for multiplying powers with the same base?

Back

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

Front

Simplify: (5ab^2)^2

Back

25a^2b^4

Front

What is the rule for raising a power to another power?

Back

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

Front

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

Back

x^4y^6

Front

What happens when you raise a product to a power?

Back

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

Front

Simplify: (2x^3y^5)^5

Back

32x^15y^25

Front

What is the result of (x^4)^2?

Back

x^8

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a number, a variable, or a product of numbers and variables.