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

When simplifying (x^2)^5, what operation do we perform on the exponents?

Back

We multiply the exponents: (x^2)^5 = x^(2*5) = x^10.

Front

Simplify (3y^4)^2.

Back

(3y^4)^2 = 3^2 * (y^4)^2 = 9y^(4*2) = 9y^8.

Front

What is the result of (x^5)^6?

Back

(x^5)^6 = x^(5*6) = x^30.

Front

Simplify (wm^5)^3.

Back

(wm^5)^3 = w^3 * (m^5)^3 = w^3 * m^(5*3) = w^3m^15.

Front

If a^m * a^n = ?

Back

a^(m+n). This is the Product of Powers Property.

Front

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

Back

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

Front

What does (a^m)/(a^n) simplify to?

Back

a^(m-n). This is the Quotient of Powers Property.

Front

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

Back

(5x^2y^3)^2 = 5^2 * (x^2)^2 * (y^3)^2 = 25x^4y^6.

Front

What is the result of (x^0)?

Back

x^0 = 1, for any x ≠ 0.