Question

1.) Simplify and write in exponential form: (-2)-3 x (-2)-4.​

Answer 1

Answer:

(i) \frac{2^3\times3^4\times4}{3\times32}

3×32

2

3

×3

4

×4

(ii) \left[\left(5^2\right)^{3\ }\times5^4\right]\div5^7[(5

2

)

3

×5

4

]÷5

7

(iii) \left(25^4\div5^3\right)(25

4

÷5

3

)

(iv) \frac{3\times7^2\times11^8}{21\times11^3}

21×11

3

3×7

2

×11

8

(v) \frac{3^7}{3^4\times3^3}

3

4

×3

3

3

7

(vi) 2^0+3^0+4^02

0

+3

0

+4

0

(vii) 2^0\times3^0\times4^02

0

×3

0

×4

0

(viii) \left(3^0+2^0\right)\times5^0(3

0

+2

0

)×5

0

(ix) \frac{2^8\times a^5}{4^3\times a3}

4

3

×a3

2

8

×a

5

(x) \left(\frac{a^5}{a^3}\right)\times a^8(

a

3

a

5

)×a

8

(xi) \frac{4^5\times a^8b^3}{4^5\times a^5b^2}

4

5

×a

5

b

2

4

5

×a

8

b

3

(xii) \left(2^3\times2\right)^2(2

3

×2)

2

Answer 2

( - 2 ) - 3 × ( - 2 ) - 4

- 2 - ( - 6 ) - 4

- 2 + 6 - 4

4 - 4

0