Question

If 5p^-3=8×5^-2, find the value p​

Answer 1

Answer:

$\blue{p = \frac{2}{5} }$

Step-by-step explanation:

$5 {p}^{3} = 8 \times {5}^{ - 2} \\ 5 {p}^{3} = 8 \times \frac{1}{5^{2} } \\ 5 {p}^{3} = 8 \times \frac{1}{25} \\ 5 {p}^{3} = \frac{8}{25} \\ {p}^{3} = \frac{8}{25 \times 5} \\ {p}^{3} = \frac{2 \times 2 \times 2}{5 \times 5 \times 5} \\ p = \sqrt[3]{\frac{2 \times 2 \times 2}{5 \times 5 \times 5}} \\ p = \frac{2}{5}$