Exponents - Power Rule

Front

What is the Power Rule for exponents?

Back

The Power Rule states that when raising a power to another power, you multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

Simplify the expression (x^5)^4.

Back

x^20.

Front

What does (2ab)^3 equal when simplified?

Back

2^3 * a^3 * b^3.

Front

Which expression is equivalent to (2x)^3?

Back

(2x)(2x)(2x).

Front

Simplify the expression (b^3)^8.

Back

b^24.

Front

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

Back

x^(2*3) = x^6.

Front

If a^m * a^n = ?

Back

a^(m+n).

Front

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

Back

3^2 * (x^2)^2 = 9x^4.

Front

How do you simplify (xy)^3?

Back

x^3 * y^3.

Front

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

Back

a^(4*3) * b^(2*3) = a^12 * b^6.