Advertisement

Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

### Question 2

What is $81^0.11 × 81^0.14$?

### Question 3

If $7^{m + n} = 117649$, and $7^{m - n} = 49$, then what is m?

**A**

4.

**B**

4.5.

**C**

5.5.

**D**

6.5.

**Soln.**

**Ans: a**

By inspection, both the expressions can be simplified to $7^{m + n} = 7^6$ and $7^{m - n} = 7^2$. The bases are same, so powers should be same as well. So these expressions lead us to two simultaneous equations $m + n = 6$ and $m - n = 2$. Solving, we get $m = {6 + 2}/2$ = 4. Note: The trick in such type of questions is to keep an eye on the "bases".

### Question 4

What is x if $3^x = 27$?

### Question 5

What is $6561^0.12 × 6561^0.13$?

This Blog Post/Article "Surds and Indices Quiz Set 002" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-05-17.

Advertisement