Question

a)(-3)^7:(-3)^4
b)[(12,3)^²]^6
c)(-3/5)².(-3/5)^-3
d)(10,7)².(10,7)³:(10,7)⁴​

Answer 1

$a) \frac{( - 3) {}^{7} }{( - 3) {}^{4} } = ( - 3) {}^{7 - 4} = ( - 3) {}^{3} = - 27 \\ \\ b)((12.3) {}^{2} ) {}^{6} = (12.3) {}^{12} = ( \frac{123}{10} ) {}^{12} \\ \\ c)( - \frac{3}{5} ) {}^{2} \times ( - \frac{3}{5} ) {}^{ - 3} = ( - \frac{3}{5} ) {}^{2 - 3} = ( - \frac{3}{5} ) {}^{ - 1} = - \frac{5}{3} \\ \\ d)(10.7) {}^{2} \times (10.7) {}^{3} \div (10.7) {}^{4} = \\ = (10.7) {}^{2 + 3} \div (10.7) {}^{4} = (10.7) {}^{5 - 4} = 10.7$