Powers and Exponents

Front

What is the definition of an exponent?

Back

An exponent is a number that shows how many times to multiply the base by itself.

Front

What does 6⁴ mean?

Back

6⁴ means 6 multiplied by itself 4 times: 6 × 6 × 6 × 6.

Front

What is the base in the expression 2⁵?

Back

The base is 2.

Front

How do you express the product 9 x 9 x 9 as a power?

Back

It can be expressed as 9³.

Front

What is the value of 10³?

Back

10³ equals 1000.

Front

What is (1/2)³?

Back

(1/2)³ equals 1/8.

Front

What is the product of 5² x 5³?

Back

The product is 5⁵.

Front

What is the rule for multiplying powers with the same base?

Back

Add the exponents: a^m x aⁿ = a^m+n.

Front

What is the rule for dividing powers with the same base?

Back

Subtract the exponents: a^m ÷ aⁿ = a^m-n.

Front

What is the value of 3⁰?

Back

Any non-zero number raised to the power of 0 is 1, so 3⁰ = 1.