Test for Integers class 7th

01. Write the fallowing in usual form

(a) 2×10⁵+5 ×10⁴+ 6×10³+1×10²+ 0×10¹+3×10⁰
(b) 3×10⁶ + 3×10⁵ + 0×10⁴ + 5×10³ + 1×10² + 2×10¹ + 7×10⁰

02. Find The Valu Of
(a) (1/36)³  × (–6)³
(b)  (7⁰ + 5⁰) (8⁰ – 5⁰)
(c) (81)-¹/²  +  (25)¹/²
(d) [(36)¹/²  +  (16)¹/² × 1]²

03. Find The Valu Of
(a) (2p³)³ /3×(p²)³
(b) (2/5)⁵ × (2/5)²
        4/9 × (2/5)³

04. Find the valu of n
(a) 4²ⁿ = 64
(b) 2 ²ⁿ-³  = 64ⁿ
(c) [(–8/3)¹⁰] / [(–8/3)⁴] = (–8/3)²ⁿ+² 

05. which is greater.
(a) (2²)×5 OR (2²)⁵
(b) 8² or 2⁸
(c) If  2^x ×  3^y = 64 × 81 then find the Value of x+y

06. Change 
(a) (2/3)-³ into pasidium exponents
(b) (3²)⁵ into negative exponent.

07. Express each number into the scientific notation or standard form:
(a) 999,000
(b) 9,000,000
(c) 0.0008
(d) 0.000475
(e) 82, 000, 000
(f) 0.0000088

08. Write In Usual Form:
(a) 1.7×10⁴
(b) 4.3×10-³
(c) 9.012 × 10-²
(d) 5.505 × 10³
(e) 4.4 × 10-⁵
(f) 4.4 × 10⁵

10. Compare 
(9) 7.35 × 10³ ..... 7.98x10²
(b) 5.439 ×10⁵ ....... 6.39X10³

11. 
(a) (4³/4³) × [(7-²)/(3-²)] × [(4-²)/(2-³)] × 9/12
(b) Does 3²+3⁵ have the same value as 3²×3⁵?

12. Solve these:
(a) (3/7)³ * (7/3)-⁷ = (3/7)³ⁿ - ²
(b) (5/9)²ⁿ -⁴ × (5/9)⁵ = (5/9)⁹

13. Without ability find which is smallest and which is biggest 
(a) 5⁰, 5³ and 5-⁵ 
(b) 2², 3², 2³ and 3³

14. Evaluate the fallowing.
(a) 5.60 × 10³ +1.33×10⁴
(b) 13.6×10⁷ +3.9×10⁵

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