Question

HW
Date:14.7.20 Tuesday
Std. 8-10, Sub. Maths
Solve the following
1. (2³)²
2. (3²)³
3. (5²)¹
4. (4?)³
5. (10²)²
6. (3'x'2)²
7. (1'x'2)²
8. (5'x'2)²
9. (6'x'2)³
10. (7'x'2)²

Answer 1

Answer to the question is 100

Step-by-step explanation:

We need to solve the following expression:

((5^3 * 2^3) ^2) / 10^4

In such type of questions, if the base number is same, then their powers are added or subtracted on the basis of multiplication and division respectively.  

So  (5³ * 2³)² ÷ 10⁴

= (5^3)^2 * (2^3)^2 / 10^4

= 5^6 * 2^6 / 5^4 * 2^4

= 5^6 – 4 * 2 ^6 - 4

= 5 ^2 * 2^2

= 25 x 4

= 100

Answer 2

Answer :

2^6

3^6

5^2

1

10^4

7^6

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