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).

Tags

CCSS.8.EE.A.1

Front

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

Back

x = 3, because 5 - 2 = 3.

Tags

CCSS.8.EE.A.1

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.

Tags

CCSS.3.OA.B.5

Front

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

Back

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

Tags

CCSS.8.EE.A.1

Front

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

Back

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

Tags

CCSS.8.EE.A.1

Front

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

Back

y = 5, because 8 - 3 = 5.

Tags

CCSS.8.EE.A.1

Front

What is the base in the expression 2^4?

Back

The base is 2.

Tags

CCSS.6.EE.A.1

Front

What is the exponent in the expression 3^5?

Back

The exponent is 5.

Tags

CCSS.6.EE.A.1

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.

Tags

CCSS.8.EE.A.1

Front

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

Back

x = 5, because x - 2 = 3.

Tags

CCSS.8.EE.A.1