Exponent Rules

Front

What is an exponent?

Back

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

Front

What is the base in an expression like 3^4?

Back

The base is the number 3, which is being multiplied by itself 4 times.

Front

What does 7^6 represent?

Back

7^6 represents 7 multiplied by itself 6 times: 7 x 7 x 7 x 7 x 7 x 7.

Front

What is the product of x^3 and x^2?

Back

x^5 (Add the exponents: 3 + 2 = 5).

Front

What is the quotient of x^5 and x^2?

Back

x^3 (Subtract the exponents: 5 - 2 = 3).

Front

What is 2^3 x 2^2?

Back

2^5 (Add the exponents: 3 + 2 = 5).

Front

What is 5^0?

Back

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

Front

What is the value of (3^2)^3?

Back

3^6 (Multiply the exponents: 2 x 3 = 6).

Front

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

Back

Add the exponents.

Front

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

Back

Subtract the exponents.