Exponential Rules (warmup for 4.1)

Front

What is the base in the expression y^5?

Back

The base is y.

Front

How do you simplify the expression x^6?

Back

The expression is already simplified as x^6.

Front

What is the simplified form of 4^-2?

Back

The simplified form is 1/16.

Front

What is the product of x^4 and x^12?

Back

The product is x^16.

Front

What is the quotient rule in exponentiation?

Back

The quotient rule states that a^m / a^n = a^(m-n).

Front

What happens when you raise a power to a power, such as (x^m)^n?

Back

You multiply the exponents: (x^m)^n = x^(m*n).

Front

What is the result of x^0?

Back

The result is 1, for any non-zero x.

Front

How do you simplify the expression (a^m * a^n)?

Back

You add the exponents: a^m * a^n = a^(m+n).

Front

What is the value of 9^5?

Back

9^5 = 59049.

Front

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

Back

The simplified form is x^(3*4) = x^12.