Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

If $4^{m + n} = 4096$, and $4^{m - n} = 64$, then what is m?

**A**

4.5.

**B**

5.0.

**C**

6.0.

**D**

7.0.

**Soln.**

**Ans: a**

By inspection, both the expressions can be simplified to $4^{m + n} = 4^6$ and $4^{m - n} = 4^3$. The bases are same, so powers should be same as well. So these expressions lead us to two simultaneous equations $m + n = 6$ and $m - n = 3$. Solving, we get $m = {6 + 3}/2$ = 4.5. Note: The trick in such type of questions is to keep an eye on the "bases".

### Question 2

What is $81^0.11 × 81^0.14$?

### Question 3

What is $({33/18})^0.18 × ({33/18})^x = ({33/18})^0.3$?

### Question 4

What is x if $8^x = 512$?

### Question 5

What is ${7^499}/{7^496}$?

### More Chapters | See All...

Areas | Distance and Time | Logarithms | Hidden Figures | Boats and Streams | Bricks and Blocks | Verification of truth | Time and Work | Basic Simplification | Alphabet Number Series | More...

This Blog Post/Article "Surds and Indices Quiz Set 012" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.