Question

Find the value of * for which ( 4/7)¹⁴ x (4/7)²¹ = (4/7) ⁷* Hint: Let * stand for a

2. Express the 7.92 x 10‐⁵ in usual form.

3. Find the value of ( 7⁰ + 3¹ ) x 3⁴

4. Find the multiplicative inverse of 10¹⁰

100
1/100
10-¹⁰
10¹⁰
5. The sum of 2.45 x 10⁹ and 21.3 x 10⁷ is:

2.663 x 10⁷
21.75 x 10⁷
2.663 x 10⁹
23.75 x 10⁷
6. Simplify (-6)⁷ x (11/6)⁷
1 point
-11⁷
11⁷
66⁷
-66⁷
7. A company's annual sale from its products was ₹ 2 billion 165 million in year 2019. Express this number in standard form.
1 point
2.165 x 10⁴ kg
2.165 x 10⁵ kg
2.165 x 10⁶ kg
2.165 x 10⁹ kg
8. Solve (-2)²+ (-2)⁵ - (-2)⁴ -(-2)⁰
1 point
-45
-44
-12
-53​

Answer 1

Step-by-step explanation:

(4/7)^14+21 = (4/7)^7 a

(4/7)^35= (4/7)^7a

We will equate power as bases are same so 35 =7a. a =5