Power to Power Rule

Front

What is the Power to Power Rule in exponents?

Back

The Power to 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 (3x^2)^4

Back

3^4 * (x^2)^4 = 81x^8.

Front

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

Back

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

Front

Simplify (2y^5)^3

Back

2^3 * (y^5)^3 = 8y^{15}.

Front

What does (x^m)^n equal?

Back

x^(m*n).

Front

If (2ab)^3 is simplified, what is the result?

Back

2^3 * a^3 * b^3 = 8a^3b^3.

Front

What is the simplified form of (x^5)^4?

Back

x^(5*4) = x^20.

Front

How do you simplify (4x^2y)^2?

Back

4^2 * (x^2)^2 * (y)^2 = 16x^4y^2.

Front

What is the Power to Power Rule used for?

Back

It is used to simplify expressions involving exponents by multiplying the exponents.

Front

If (2x^3)^2 is simplified, what do you get?

Back

2^2 * (x^3)^2 = 4x^6.