Question

3^-7 * 10^-7 * 125 / 5^-5 * 6^-6

KEY
^ is Power like 3 to the power of -7 like that
if u answer it i will mark as brainliest and also rate to 5 and THANK U
please fast

Answer 1

Answer:

${3}^{ - 7} \times {10}^{ - 7} \times 125 \div {5}^{ - 5} \times {6}^{ - 6} \\ \frac{ {3}^{ - 7} \times {10}^{ - 7} \times 125 }{ {5}^{ - 5} \times {6}^{ - 6} } \\ = \frac{ {5}^{5} \times {6}^{6} \times 125 }{ {3}^{7} \times {10}^{7} } \\ = \frac{ {5}^{5} \times {(3 \times 2)}^{6} \times {5}^{3} }{ {3}^{7} \times {(2 \times 5)}^{7} } \\ = \frac{ {5}^{5} \times {3}^{6} \times {2}^{6} \times {5}^{3} }{ {3}^{7} \times {2}^{7} \times {5}^{7} } \\ = \frac{ {5}^{5 + 3} \times {3}^{6} \times {2}^{6} }{ {3}^{7} \times {2}^{7} \times {5}^{7} } \\ = \frac{ {5}^{8 - 7} }{ {3}^{7 - 6} \times {2}^{7 - 6} } \\ = \frac{ {5}^{1} }{ {3}^{1} \times {2}^{1} } \\ = \frac{5}{3 \times 2} \\ \boxed{= \underline{ \underline{ \frac{5}{6} }}}\\ \\ \underline{\underline{Note}}\\a^2\times b^2=(a \times b)^2 \\ \frac{a^3}{a^2}=a^{3-2} \\ a^3 \times a^2 = a^{3+2}$

Hope you understood my solution