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ICSE ICSE Class 7 - CISCE Question Bank Solutions

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Simplify, giving Solution with positive index

`2^"4a". 2^("3a") .2^(-"a")`

[1.05] Exponents (Including Laws of Exponents)
Chapter: [1.05] Exponents (Including Laws of Exponents)
Concept: undefined >> undefined

Simplify, giving Solution with positive index

4x2y2 ÷ 9x3y3 

[1.05] Exponents (Including Laws of Exponents)
Chapter: [1.05] Exponents (Including Laws of Exponents)
Concept: undefined >> undefined

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Simplify, giving Solution with positive index

(102)3 (x8)12 

[1.05] Exponents (Including Laws of Exponents)
Chapter: [1.05] Exponents (Including Laws of Exponents)
Concept: undefined >> undefined

Simplify, giving Solution with positive index

(a10)10 (16)10

[1.05] Exponents (Including Laws of Exponents)
Chapter: [1.05] Exponents (Including Laws of Exponents)
Concept: undefined >> undefined

Simplify, giving Solution with positive index:

(n2)2 (- n2)3

[1.05] Exponents (Including Laws of Exponents)
Chapter: [1.05] Exponents (Including Laws of Exponents)
Concept: undefined >> undefined

Simplify, giving Solution with positive index

- (3ab)2 (-5a2bc4)2 

[1.05] Exponents (Including Laws of Exponents)
Chapter: [1.05] Exponents (Including Laws of Exponents)
Concept: undefined >> undefined

Simplify, giving Solution with positive index

(-2)2 × (0)3 × (3)3 

[1.05] Exponents (Including Laws of Exponents)
Chapter: [1.05] Exponents (Including Laws of Exponents)
Concept: undefined >> undefined

Simplify, giving Solution with positive index

(2a3)4 (4a2)2 

[1.05] Exponents (Including Laws of Exponents)
Chapter: [1.05] Exponents (Including Laws of Exponents)
Concept: undefined >> undefined

Simplify, giving Solution with positive index

(4x2y3)3 ÷ (3x2y3)3 

[1.05] Exponents (Including Laws of Exponents)
Chapter: [1.05] Exponents (Including Laws of Exponents)
Concept: undefined >> undefined

Simplify, giving a Solution with a positive index.

`(1/"2x")^3 xx (6"x")^2`

[1.05] Exponents (Including Laws of Exponents)
Chapter: [1.05] Exponents (Including Laws of Exponents)
Concept: undefined >> undefined

Simplify, giving Solution with positive index

`(1/("4ab"^2"c"))^2 div (3/(2"a"^2"bc"^2))^4`

[1.05] Exponents (Including Laws of Exponents)
Chapter: [1.05] Exponents (Including Laws of Exponents)
Concept: undefined >> undefined

Simplify, giving Solution with positive index

`((5"x"^7)^3 . (10"x"^2)^2)/(2"x"^6)^7 = (5^3 "x"^(7xx3) . 10^2 . "x"^(2xx2))/(2^7. "x"^(6xx7))`

[1.05] Exponents (Including Laws of Exponents)
Chapter: [1.05] Exponents (Including Laws of Exponents)
Concept: undefined >> undefined

Simplify, giving Solution with positive index

`((7 "p"^2 "q"^9 "r"^5)^2 (4 "pqr")^3)/(14 "p"^6 "q"^10 "r"^4)^2`

[1.05] Exponents (Including Laws of Exponents)
Chapter: [1.05] Exponents (Including Laws of Exponents)
Concept: undefined >> undefined

Simplify and express the Solution in the positive exponent form:

`((-3)^3 xx 2^6)/(6 xx 2^3)`

[1.05] Exponents (Including Laws of Exponents)
Chapter: [1.05] Exponents (Including Laws of Exponents)
Concept: undefined >> undefined

Simplify and express the Solution in the positive exponent form:

`((2^3)^5 xx 5^4)/(4^3 xx 5^2)`

[1.05] Exponents (Including Laws of Exponents)
Chapter: [1.05] Exponents (Including Laws of Exponents)
Concept: undefined >> undefined

Simplify and express the Solution in the positive exponent form:

`(36 xx (-6)^2 xx 3^6)/(12^3 xx 3^5)`

[1.05] Exponents (Including Laws of Exponents)
Chapter: [1.05] Exponents (Including Laws of Exponents)
Concept: undefined >> undefined

Simplify and express the Solution in the positive exponent form:

`- 128/2187`

[1.05] Exponents (Including Laws of Exponents)
Chapter: [1.05] Exponents (Including Laws of Exponents)
Concept: undefined >> undefined

Simplify and express the Solution in the positive exponent form:

`("a"^-7 xx "b"^-7 xx "c"^5 xx "d"^4)/("a"^3 xx "b"^-5 xx "c"^-3 xx "d"^8)`

[1.05] Exponents (Including Laws of Exponents)
Chapter: [1.05] Exponents (Including Laws of Exponents)
Concept: undefined >> undefined

Simplify and express the Solution in the positive exponent form:

`("a"^3 "b"^(-5))^-2 = "a"^(3 xx -2) "b"^(-5 xx -2)`

[1.05] Exponents (Including Laws of Exponents)
Chapter: [1.05] Exponents (Including Laws of Exponents)
Concept: undefined >> undefined

Evaluate: `(2^2)^0 + 2^-4 div 2^-6 + (1/2)^-3`

[1.05] Exponents (Including Laws of Exponents)
Chapter: [1.05] Exponents (Including Laws of Exponents)
Concept: undefined >> undefined
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