Question

using laws of indices simplify the following :-

a ) 5 ¹⁰ / 5¹²

b) 4⁵÷4²

c) 2⁷ × 3⁹ / 2⁵ × 3⁶​

Answer 1

Answer:

(i) (−4)

5

÷(−4)

8

=

(−4)

8

(−4)

5

=(−4)

5−8

=(−4)

−3

=

(−4)

3

1

(ii) (

2

3

1

)

2

=

2

3×2

1

=

2

6

1

(iii) (−3)

4

×(

3

5

)

4

=(−1)

4

×(3)

4

×(

3

5

)

4

=(−1)

4

×5

4

=5

4

(iv) (3

−7

÷3

−10

)×3

−5

=(

3

−10

3

−7

)×(3)

−5

=3

−7+10

×3

−5

=3

3−5

=3

−2

=

3

2

1

(v) 2

−3

×(−7)

(−3)

=

2

3

1

×

(−7)

3

1

=(

2×(−7)

1

)

3

=

(−14)

3

1

Answer 2

Step-by-step explanation:

answers

a) 5^-2

b) 4^3

c) 108

hope it help