Properties of Exponents Review

What is @@10^4 \/ 10^2@@ equal to?

• @@10^3 = 1000@@

• @@10^2 = 100@@

• @@10^1 = 10@@

• @@10^4 = 10000@@

What is the result of @@ (2^3)^2 @@?

• 32

• 64

• 16

• 8

When multiplying two powers with the same base, what do we do with the exponents?

• We subtract the exponents.

• We multiply the exponents.

• We add the exponents.

• We divide the exponents.

What is the product of @@5^3  5^2@@?

• @@5^7@@

• @@5^4@@

• @@5^5@@

• @@5^6@@

• We add the exponents: @@d^{2 + 5} = d^{7}@@

• We multiply the exponents: @@d^{2 imes 5} = d^{10}@@

• We subtract the exponents: @@d^{2 - 5} = d^{-3}@@

• We raise the base to the power of the exponent: @@d^{2^5} = d^{32}@@

What is @@ (a^b)^c @@ equal to?

• @@ a^{b \, \cdot \, c} @@

• @@ a^{b+c} @@

• @@ a^{bc} @@

• @@ a^{b/c} @@

What is @@x^5 \div x^2@@ equal to?

• @@x^2@@

• @@x^3@@

• @@x^4@@

• @@x^5@@

What is @@5^0@@ equal to?

• 0

• 1

• 5

• Undefined

What is @@x^m \cdot x^n@@ equal to?

• @@x^{m+n}@@

• @@x^{m-n}@@

• @@x^{mn}@@

• @@x^{m/n}@@