Product Law & Exponents Review

Front

What is exponential notation?

Back

Exponential notation is a way to express repeated multiplication of the same number. For example, 5^4 means 5 multiplied by itself 4 times (5 x 5 x 5 x 5).

Front

According to the product rule, what do we do with the exponents when multiplying powers with the same base?

Back

We add the exponents.

Front

Simplify: (x^4)(x)

Back

x^5

Front

Simplify: x ∙ x ∙ x ∙ x ∙ x ∙ x

Back

x^6

Front

In the expression 2^3 = 8, what is the base?

Back

2

Front

What does the term 'base' refer to in exponents?

Back

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

Front

What is the product rule for exponents?

Back

The product rule states that when multiplying two powers with the same base, you add the exponents: a^m * a^n = a^(m+n).

Front

Simplify: 3^2 * 3^3

Back

3^5

Front

What is the value of 5^0?

Back

1 (Any non-zero number raised to the power of 0 is 1.)

Front

If a^3 = 27, what is the value of 'a'?

Back

3 (Since 3^3 = 27.)