Question

One terameter equals 1012 meters. One micrometer equals 10 meter.

Answer 1

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

$= \frac{10^{12} }{10^{-6} } \\= 10^{12-(-6)} \\= 10^{12+6} \\= 10^{18}metres$