Question

b) Simply and give your answer with a positive index: (5)⁴×(⅘)⁴×2⁸​

Answer 1

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$\longrightarrow \: {5}^{4} \times {( \frac{4}{5} )}^{4} \times {2}^{8}$

$\longrightarrow \: {5}^{4} \times { ({2}^{2} )}^{4} \times \frac{1}{ {5}^{4} } \times {2}^{8}$

$\longrightarrow \: {2}^{8} \times {2}^{8}$

$\longrightarrow \: {2}^{8 + 8} = {2}^{16}$

Answer 2

Answer:

it can written like this.. 5⁴×4⁴×2⁸

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5⁴

Now 4⁴ can be written like (2×2)⁴

=(2²)⁴=2⁸

=2⁸×2⁸=2¹⁶