Laws of Exponents - Power Rule

Front

What is the Power Rule in exponents?

Back

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

Front

Simplify: (3x^4y^5)^2

Back

9x^8y^10

Front

Simplify: (2x^3y)^6

Back

64x^18y^6

Front

Simplify: (b^3)^8

Back

b^24

Front

Simplify: (3x^3y^5)^4

Back

81x^12y^20

Front

Simplify: (2ab)^3

Back

2^3a^3b^3

Front

What happens to the base when applying the Power Rule?

Back

The base remains the same; only the exponents are multiplied.

Front

If (x^2)^3 = x^6, what is the exponent in the original expression?

Back

The exponent in the original expression is 2, which is multiplied by 3.

Front

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

Back

The result is a^(m+n) due to the Product of Powers Rule.

Front

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

Back

The result is a^(m-n) due to the Quotient of Powers Rule.