Question

Simplify:
(i) (3 x 2³)²​

Answer 1

Answer:100

Step-by-step explanation:

Given (5^3 x 2^3)^2 / 10^4: Simplify.

We know the law of exponents which states that

(a x b)^m = a^m x b^m

a^m x a^n = a^m + n

a^m / a^n = a^m - n

So the problem is (5³ X 2³)² ÷ 10⁴

So we have (5^3)^2 x (2^3)^2 / 10^4

5^6 x 2^6 / 5^4 x 2^4

5^6 – 4 x 2 ^6 - 4

5 ^2 x 2^2

 25 x 4

 100

Answer 2

(3 × 2³)²

= 3² × (2³)²

= 3² × 2⁶

= 9 × 64

= 576

Answer: (3 × 2³)² = 576

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