Power Property of Exponents

Front

What is the Power Property of Exponents?

Back

The Power Property of Exponents 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)^4

Back

x^8

Front

Simplify: (3a^5)^2

Back

9a^{10}

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: (2xy^3)^3

Back

8x^3y^9

Front

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

Back

The result is x^(m+n) due to the Product Property of Exponents.

Front

Simplify: (x^3y^2)^2

Back

x^6y^4

Front

What is the result of (x^0)?

Back

Any non-zero number raised to the power of zero is 1, so x^0 = 1.

Front

Simplify: (5x^2y^3)^2

Back

25x^4y^6

Front

What is the result of (x^m)/(x^n)?

Back

The result is x^(m-n) due to the Quotient Property of Exponents.