Question

Its from exponents chapter can anyone ans these questions plz.. it would be really appreciable & would be helpful
;)
N thx ..

Answer 1

Well, consider the following :-

➡ What 2² means? It means 4 right?

➡ What 2³ means? It means 8 right?

➡ What 3⁴ means? It means 81 right?

➡ What 16² means? It means 256 right?

☑ For first one, you had done 2×2

☑ For second one, you had done 2×2×2

☑ For third one, you had done 3×3×3×3

☑ For fourth one, you had done 16×16

So, why to fear when questions are somewhat given tricky? Why we tell easy questions as hard questions?

On seeing the solution, I hope, all of your fear will be cleared up, and you will be able to obtain a clear conception.

So, the solutions are :

1] ${2}^{8} \times 8 = 256 \times 8 = 2048$

2] $( {3}^{2})^{5} = {3}^{2 \times 5} = {3}^{10}$

3] Whenever anything's power is zero, it always results into 1. We should remember this well. The simple way to represent is a to the power zero, i.e.,

${a}^{0} = 1.$

Hence, the answer to this questions is also 1.

4] ${2}^{ - 1} \times {4}^{ - 1} \times {3}^{ - 1}$

$= \frac{1}{2} \times \frac{1}{4} \times \frac{1}{3}$

$= \frac{1}{24}$

5] 27 ÷ 3⁴

= 27 ÷ 81

= 1 ÷ 3

= $\frac{1}{3}$

6] 10² × 5³

= 100 × 125

= 12500

Answer 2

1] 2^ 8 × 8 = 256 × 8 = 204


2] (3²)^5 = 3^10


3] Whenever anything's power is zero, it always results into 1. We should remember this well. The simple way to represent is a to the power zero, i.e.,

a^0= 1

Hence, the answer to this questions is also 1.

4] 2^(- 1) × 4^(- 1) × 3^(- 1)

= 1/2× 1/4×1/3

= 1/24


5] 27 ÷ 3⁴

= 27 ÷ 81

= 1 ÷ 3

= 1/3



6] 10² × 5³

= 100 × 125

= 12500