Practicing Rules of Exponents with Monomials

Front

What is the rule for raising a power to a power in exponents?

Back

Multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

Calculate (r^4)^6.

Back

r^24.

Front

What is the result of (2x^3y)^6?

Back

64x^18y^6.

Front

Calculate (-3)^2.

Back

9.

Front

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

Back

Add the exponents. For example, a^m * a^n = a^(m+n).

Front

Calculate (2ab)^3.

Back

8a^3b^3.

Front

What is the result of (-3a^2b^4)^5?

Back

-243a^10b^20.

Front

What happens when you raise a product to a power?

Back

Raise each factor in the product to that power. For example, (xy)^n = x^n * y^n.

Front

What is the result of (x^2y^3)^4?

Back

x^8y^12.

Front

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

Back

Subtract the exponents. For example, a^m / a^n = a^(m-n).