Evaluating Expressions with Exponents: Quiz

Which is the value of the expression [(10^4)(5^2)/(10^3)(5^3)]^3

C. 8

Which is the simplified form of the expression (6^-4)^-9/6^6?

D. 6^30

Which is the value of this expression when a=-2 and b=-3? [3a^-3b^2/2a^-1b^0]

D. 729/64

Nadine and Calvin are simplifying the expression [r^-5s^-3/r^8s^-2]^-4 Nadine claims the first step to simplify the expression is to raise the numerator and denominator to the power of 4 to get r^-20s^-12/r^32s^8. Calvin claims the first step to simplify the expression is to apply the quotient of powers to get [r^-13s^-1]^-4 Who is correct and why?

D. Calvin is correct because he correctly applied the quotient of powers rule.

Rena used the steps below to evaluate the expression [(x^-3(y^-2)/2(x)^4(y^-4)]^-3, when x=-1 and y=2 Step 1: Substitute x=-1 and y=2 into the expression [(-1)^-3(2)^-2/2(-1)^4(2)^-4)]^-3 Step 2: Simplify the parentheses [(2)^-6/2(-1)^4(-1)^3(2)^2)^-3=[(2)^2/2(-1)^7)]^-3 Step 3: Evaluate the power to a power. (2)^6/2^-3(-1)^-21 Step 4: Use reciprocals and find the value. 1/2^3(2)^6(-1)^21=1/8⋅64⋅(-1)=-1/512 In which step did Rena make her first error?

D. Step 4

Which is the simplified form of the expression (6^-2⋅6^5)^-3

B. 1/6^9

Which is the value of this expression when j=-2 and k=-1 ? [jk^-2/j^-1k^-3]

A. -64

Which is the value of this expression when x=-2 and y=-3? 10x^3y^2

A. -720

Which shows how to find the value of this expression when x=-2 and y=5? (3x^y^-2)^2

A. 3^2(-2)^6/5^4

Selena and Drake are evaluating the expression [rs^-2/r^2s^-3]^-1, when r=-1 and s=-2. Selena's work: [rs^-2/r^2s^-3]^-1=[r^-1s]^-1=r/s/=-1/-2=1/2 Drake's work: [(-1)(-2)^-2/(-1)^2(-2)^-3]^-1=[(-1)(-2)^3/(-1)^2(-2)^2]^-1=(-8/4)^-1=4/-8=-1/2

B. Selena is correct because she simplified correctly and then evaluated correctly after substituting the values for the variables.