Exponent with Rational Bases

The number that indicates how many times the based is used as a factor.

• Exponent

• Pi

• Power

• Radical Symbol

Tags

CCSS.8.EE.A.1

​ (a)   is when you multiply two powers with the same exponent and different bases, multiply the bases and keep the exponent.

• Power of Products Property

• Power of Powers Property

• Quotient of Powers Property

• Negative Exponent Property

• Zero Exponent Property

Tags

CCSS.8.EE.A.1

The ​ (a)   states that to divide two powers with the same base, keep the common base and subtract the exponents.

• Quotient of Powers Property

• Power of Products Property

• Power of Powers Property

• Negative Exponent Property

• Zero Exponent Property

Tags

CCSS.8.EE.A.1

Find the power of a power, keep the base and multiply the exponents.

• Power of Powers Property

• Power of Products Property

• Quotient of Powers Property

• Negative Exponent Property

• Zero Exponent Property

Tags

CCSS.8.EE.A.1

Rewrite the expression using a rational exponent:

a

b

c

2

5

3

Simplify the expression: (1/2)^-3

• 8

• 1/6

• 1/8

• 1/4

Evaluate the value of (2/3)^-4.

• 81/16

• 4/81

• 1/16

• 16/81

Simplify the following: (7/8)^-2

• 64/49

• 49/64

• 8/7

• 2/7

Simplify the expression: (15/16)^-4

• 625/256

• 16/15

• 1/256

• 256/625