May 21 - Division Property of Exponents

Front

What is the Division Property of Exponents?

Back

The Division Property of Exponents states that when dividing two expressions with the same base, you subtract the exponents. For example, a^m / a^n = a^(m-n).

Front

If a^5 / a^2 = a^x, what is the value of x?

Back

x = 3, because 5 - 2 = 3.

Front

What happens when you divide a number by itself?

Back

When you divide a number by itself (except zero), the result is 1. For example, a/a = 1.

Front

How do you simplify (x^7)/(x^3)?

Back

You subtract the exponents: x^(7-3) = x^4.

Front

What is the result of 10^5 / 10^2?

Back

10^5 / 10^2 = 10^(5-2) = 10^3.

Front

If b^8 / b^3 = b^y, what is y?

Back

y = 5, because 8 - 3 = 5.

Front

What is the base in the expression 2^4?

Back

The base is 2.

Front

What is the exponent in the expression 3^5?

Back

The exponent is 5.

Front

How do you express 4^3 / 4^1 using the Division Property of Exponents?

Back

4^3 / 4^1 = 4^(3-1) = 4^2.

Front

What is the value of x in the equation 5^x / 5^2 = 5^3?

Back

x = 5, because x - 2 = 3.