Power Rule Exponents

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: (x^2)^3

Back

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

Front

What happens when you raise a product to a power?

Back

When raising a product to a power, you raise each factor to that power. For example, (ab)^n = a^n * b^n.

Front

Simplify: (3xy)^2

Back

(3^2)(x^2)(y^2) = 9x^2y^2.

Front

What is the result of (a^m)(a^n)?

Back

When multiplying like bases, you add the exponents: a^m * a^n = a^(m+n).

Front

Simplify: 2^3 * 2^2

Back

2^(3+2) = 2^5 = 32.

Front

What is the result of a^0?

Back

Any non-zero number raised to the power of zero is 1: a^0 = 1.

Front

Simplify: (b^4)^2

Back

b^(4*2) = b^8.

Front

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

Back

x^(3*4)y^(2*4) = x^12y^8.

Front

Simplify: (2x^2y)^3

Back

2^3 * (x^2)^3 * (y)^3 = 8x^6y^3.