ISEE Upper Level Word Problems: Exponents and Roots Practice Test 12

1. What is the value of the expression ?

• A.
• B.
• C. 2
• D. 4

2. What is the value of the numerical expression 5.3 × 10⁶ + 6.2 × 10⁴?

• A. 6.152 × 10⁴
• B. 5.92 × 10⁵
• C. 5.362 × 10⁶
• D. 1.25 × 10¹⁰

3. Which expression is equivalent to the expression ?

• A. 18x³
• B. 18x⁶
• C. 6x³
• D. 6x⁶

4. =

• A. 6²
• B. 6⁴
• C. 6¹⁶
• D. 6³²

5. (–2x²y³)⁴ =

• A. –16x⁸y¹²
• B. –16x⁶y⁷
• C. 16x⁶y⁷
• D. 16x⁸y¹²

6. If 81³ = 3^x, then x =

• A. 9
• B. 12
• C. 27
• D. 30

7. = ?

• A. 0
• B. 1
• C.
• D.

8. Which expression is equivalent to the expression shown?

• A. 12 + 18x
• B. 36x
• C.
• D. 30x²

9. The approximate distance around the equator of the Earth, which is 2.5 × 10⁴ miles, is about how many times the approximate distance from Detroit, MI to Cleveland, OH, which is 5.0 × 10¹ miles?

• A. 2.0 × 10⁶
• B. 5.0 × 10⁴
• C. 2.0 × 10⁴
• D. 5.0 × 10²

10. = ?

• A. 1.6 × 10¹²
• B. 1.6 × 10⁸
• C. 1.6 × 10⁷
• D. 1.6 × 10⁴

11. If x and y are both integers, what is (8.0 × 10^x)(6.0 × 10^y) expressed in scientific notation?

• A. 48.0 × 10^xy
• B. 4.8 × 10^{x + y + 1}
• C. 4.8 × 10^{x + y}
• D. 4.8 × 10^xy