exponents

Front

What is an exponent?

Back

An exponent is a number that shows how many times to use the base in a multiplication. For example, in 2^3, 2 is the base and 3 is the exponent.

Front

What does the expression 2^4 mean?

Back

2^4 means 2 multiplied by itself 4 times: 2 × 2 × 2 × 2 = 16.

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. For example, a^m × a^n = a^(m+n).

Front

What is the quotient rule for exponents?

Back

The quotient rule states that when dividing two powers with the same base, you subtract the exponents. For example, a^m ÷ a^n = a^(m-n).

Front

What is any number raised to the power of 0?

Back

Any number raised to the power of 0 is always 1. For example, 5^0 = 1.

Front

What is the value of 3^2?

Back

3^2 = 3 × 3 = 9.

Front

How do you simplify (2^3)(2^2)?

Back

Using the product rule, (2^3)(2^2) = 2^(3+2) = 2^5.

Front

What is the value of 10^1?

Back

10^1 = 10.

Front

What does 5^3 equal?

Back

5^3 = 5 × 5 × 5 = 125.

Front

What is the value of (x^4)(x^3)?

Back

Using the product rule, (x^4)(x^3) = x^(4+3) = x^7.