Power of a Power Property

Front

What is the Power of a Power Property in exponents?

Back

The Power of a Power Property states that when raising a power to another power, you multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

Simplify: (5^2)^3

Back

5^6

Front

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

Back

x^{12}

Front

Simplify: (2x^2)^3

Back

8x^6

Front

What is the simplified form of (r^4)^6?

Back

r^{24}

Front

If (a^m)^n = a^p, what is the relationship between m, n, and p?

Back

p = m * n.

Front

Simplify: (3x^2)^3

Back

27x^6

Front

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

Back

4x^6y^2

Front

If (5^2)^3 = 5^x, what is x?

Back

x = 6.

Front

What does the expression (x^2y^3)^4 simplify to?

Back

x^8y^{12}.