Product Quotient and Negative Rule Exponents

Simplify the expression:
(5⁸) ÷ (5²)

• 5⁶

• 5¹⁰

• 5⁴

• 5¹⁶

Quotient Rule states: keep the base the same and do this to the exponents.

• multiply

• add

• subtract

• divide

Which number is the EXPONENT?
4^{2 =} 16

• 4

• 2

• 16

Billy was asked to solve 3⁵∙3⁴. He got 9²⁰. What error did he make?

• When he multiplies exponents, he is supposed to add the base and the exponent

• When he multiplies exponents, he is supposed to multiply the base and keep the exponents

• When he multiplies exponents, he is supposed to keep the base and add the exponents if the base is the same

• None of the above

According to exponent rules, when we divide the same bases, we _______ the exponents.

• add

• subtract

• multiply

• divide

If we have a base with a negative exponent, then we...(select all that are true)

• If it is at the top of the fraction, move it to the bottom and make the power positive

• If it is at the bottom of the fraction, move it to the top and make the power positive

• Always move the negative powers to the bottom of the fraction

• Just change the power to positive and you're done

According to exponent rules, when we multiply the same bases, we _______ the exponents.

• add

• subtract

• multiply

• divide

What TWO rules do you have to use to simplify...

• Power to a Power AND Quotient of Powers

• Power to a Power AND Product of Powers

• Quotient of Powers AND Negative Power 

• Quotient of Powers AND Product of Powers

CHECK all the rules that you need to simplify...

• Power to a Power Property

• Zero Power Property

• Product of Powers Property

• Quotient of Powers Property

• Negative Power Property