12/11 - Power of a Power Rule of Exponents

Front

What is the Power of a Power Rule in exponents?

Back

When raising a power to another power, multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

Simplify (x^2)^3.

Back

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

Front

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

Back

(2x)(2x)(2x) = 8x^3.

Front

Simplify (-3m)^4.

Back

(-3)^4 * m^4 = 81m^4.

Front

What is the simplified form of (4xy^2)^2?

Back

16x^2y^4.

Front

If (ab)^3 = a^3b^3, what is the property being used?

Back

The property of exponents states that (xy)^n = x^n * y^n.

Front

Simplify (5y^3)^2.

Back

25y^6.

Front

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

Back

x^(4*2)y^(2*2) = x^8y^4.

Front

How do you simplify (2x^3y)^4?

Back

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

Front

What is the simplified form of (3y^4)^2?

Back

9y^8.