Question

Find the product of (2/5)²×(2/5)³

Answer 1

$= (\frac{2}{5})^{2} \times ( \frac{2}{5} )^{3} \\ \\ = (\frac{2}{5})^{2+3} \\ \\ = \frac{2}{5}^{5}\\ \\ = \frac{32}{3125}$

Answer 2

Good morning mate

Here, is your answer,

Answer:

32/3125

Step-by-step explanation:

1st method :-

= (2/5)²x(2/5)³

= 4/25 x 8/125

= 4 x 8/25 x 125

= 32/3125 [ANSWER]

You can also write the answer,

= 97.65 [ANSWER]

=> 98 (approximately) [ANSWER]

2nd method :-

= (2/5)² x(2/5)³

Here, the bases are same and these are in multiply. Then, we can add the powers.

= (2/5)²+³

= (2/5)⁵

= 32/3125 [ANSWER]

You will see that in both cases we had got the same answer. Then, the answer is correct. Hence, proved.

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