Exponents-Power to a Power Rule

Front

What is the Power to a Power Rule in exponents?

Back

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

Front

Simplify (x^5)^4.

Back

x^20.

Front

Simplify (b^3)^8.

Back

b^24.

Front

What happens when you distribute an exponent to a product?

Back

You raise each factor in the product to the exponent. For example, (ab)^n = a^n * b^n.

Front

Simplify (2ab)^3.

Back

2^3 * a^3 * b^3 = 8a^3b^3.

Front

Simplify (2x^3y)^6.

Back

64x^18y^6.

Front

Simplify (3y^4)^2.

Back

9y^8.

Front

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

Back

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

Front

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

Back

p = m * n.

Front

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

Back

x^(4*3)y^(2*3) = x^12y^6.