Powers of Monomials

Front

What is the power of a monomial?

Back

A power of a monomial is an expression that represents the multiplication of a monomial by itself a certain number of times, indicated by an exponent.

Front

Simplify: (a^5)^6

Back

a^30

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: (m^5n^4)^3

Back

m^15n^12

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: (5^2)^3

Back

5^6

Front

What happens when you raise a negative monomial to an odd power?

Back

The result remains negative.

Front

Simplify: (-2x^2)^3

Back

-8x^6

Front

What is the result of (k^7)^2?

Back

k^14

Front

What is the rule for multiplying coefficients in monomials?

Back

Multiply the coefficients together and keep the variable part unchanged.