Power Rule

Front

What is the Power Rule in exponents?

Back

The Power Rule states that when raising a power to another power, you multiply the exponents.

Front

Simplify (2ab)^3 using the Power Rule.

Back

2^3 a^3 b^3.

Front

What is the result of (4xy^3)^3?

Back

64x^3y^9.

Front

How do you simplify (b^3)^8?

Back

b^24.

Front

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

Back

3^6.

Front

If a^m is raised to the power of n, what is the simplified form?

Back

a^(m*n).

Front

What happens to the exponents when multiplying two powers with the same base?

Back

You add the exponents.

Front

What is the result of (x^5)(x^2)?

Back

x^(5+2) = x^7.

Front

If (2x^3)^4 is simplified, what is the result?

Back

2^4 x^(3*4) = 16x^12.

Front

What is the general formula for (a^m)^n?

Back

a^(m*n).