Exponents

Front

What is an exponent?

Back

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

Front

What does the expression 10¹ represent?

Back

It represents the number 10, as any number raised to the power of 1 is itself.

Front

How can you express 10,000 using exponents?

Back

10,000 can be expressed as 10⁴.

Front

In the expression 2³ = 8, what is the base?

Back

The base is 2.

Front

What does the exponent in an expression like 20 x 20 x 20 indicate?

Back

It indicates that the base (20) is multiplied by itself 3 times, which can be expressed as 20³.

Front

What is the value of 5⁰?

Back

The value of 5⁰ is 1, as any non-zero number raised to the power of 0 is 1.

Front

How do you multiply numbers with the same base?

Back

When multiplying numbers with the same base, you add the exponents. For example, a^m * aⁿ = a^m+n.

Front

What is the result of 3² * 3³?

Back

The result is 3⁵, since you add the exponents (2 + 3).

Front

How do you divide numbers with the same base?

Back

When dividing numbers with the same base, you subtract the exponents. For example, a^m / aⁿ = a^m-n.

Front

What is the value of (2³)²?

Back

The value is 2⁶, since you multiply the exponents (3 * 2).