Answer:
a) 10⁶metres
b) 10¹⁸metres
Step-by-step explanation:
Given One terameter equals 10¹² meters. One micrometer equals 10⁻⁶ meter, one nanometer equals 10⁻⁹meter;
a) The product of one terameter and one micrometer will be expressed as;
10¹² * 10⁻⁶
Since the both have the same base, we will add their power according to one of the law in indices as shown
10¹² * 10⁻⁶ = 10⁻⁶⁺¹²
= 10⁶metres
b) The quotient of one terameter and one micrometer can be gotten by taking their ratio as shown below;
Note that when taking the quotient, the power are subtracted
[tex]= \frac{10^{12} }{10^{-6} } \\= 10^{12-(-6)} \\= 10^{12+6} \\= 10^{18}metres[/tex]
