Power of a Power Rule of Exponents

Front

What is the Power of a Power Rule in exponents?

Back

The Power of a 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 (4xy^4)^3

Back

64x^3y^12

Front

Which expression is equivalent to (2x)^3?

Back

(2x)(2x)(2x)

Front

Simplify (3y^4)^2

Back

9y^8

Front

Simplify (2x^3y)^6

Back

64x^18y^6

Front

Simplify (-2m)^4

Back

16m^4

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, making it easier to understand or work with.

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base by itself. For example, in 2^3, 2 is the base and 3 is the exponent.

Front

What is the base in an exponential expression?

Back

The base is the number that is being multiplied by itself. In the expression a^n, 'a' is the base.

Front

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

Back

x^8