Power to Power Rule Exponents

Front

What is the Power to Power Rule in exponents?

Back

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

Front

Simplify: (x^2)^3

Back

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

Front

What does it mean to distribute an exponent?

Back

Distributing an exponent means applying the exponent to each factor inside the parentheses. For example, (ab)^n = a^n * b^n.

Front

Simplify: (3x^2y)^4

Back

3^4 * x^(2*4) * y^4 = 81x^8y^4.

Front

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

Back

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

Front

Simplify: (2x^3y)^2

Back

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

Front

What is the product of powers rule?

Back

When multiplying two powers with the same base, add the exponents. For example, a^m * a^n = a^(m+n).

Front

Simplify: x^4 * x^3

Back

x^(4+3) = x^7.

Front

What is the quotient of powers rule?

Back

When dividing two powers with the same base, subtract the exponents. For example, a^m / a^n = a^(m-n).

Front

Simplify: x^5 / x^2

Back

x^(5-2) = x^3.