Properties of Exponents Review

What is the rule for dividing powers with the same base?

• Add the exponents.

• Subtract the exponents.

• Multiply the exponents.

• Divide the exponents.

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

• 2

• 3

• 4

• 5

What happens when you multiply two powers with different bases?

• You can combine them using exponent rules.

• You cannot combine them using exponent rules.

• You add the exponents of the powers.

• You multiply the bases and keep the exponent the same.

If a^m * a^n = a^x, what is x?

• x = m - n

• x = m * n

• x = m + n

• x = m / n

What is the value of 2^0?

• 0

• 1

• 2

• -1

Anything raised to a power of zero is always:

• 0

• 1

• undefined

• infinity

What is the result of @@x^{-2}@@?

• @@rac{1}{x^2}@@

• @@rac{1}{x}@@

• @@x^2@@

• @@x^{-1}@@

What is the rule for raising a product to a power?

• Multiply the base by the exponent.

• Add the exponents of each factor.

• Distribute the exponent to each factor.

• Subtract the exponent from each factor.

If (x^3)^4 = x^y, what is y?

• 8

• 9

• 10

• 12

Simplify the expression: @@\frac{d^5}{d^{10}}@@

• @@\frac{1}{d^5}@@

• @@d^5@@

• @@d^{10}@@

• @@\frac{1}{d^{15}}@@