Question

Without actually performing the long division, covert the following into decimal form :
iii) 79/(2³ x 5⁴)​

Answer 1

Step-by-step explanation:

$\frac{79}{ {2}^{3} \times {5}^{4} } \\ \\ \\ = \frac{79 \times 2}{ {2}^{3} \times {5}^{4} \times 2 } \\ \\ = \frac{158}{ {2}^{4} \times {5}^{4} } \\ \\ \\ = \frac{158}{ {{ (2 \times 5)}}^{4} } \\ \\ = \frac{158}{ {10}^{4} } \\ \\ = \frac{158}{10 \times 10 \times 10 \times 10} \\ \\ = \frac{158}{1000} \\ \\ = 0.158$

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