Final answer:
The result of (6x10²) x (3x10⁻⁵) is 18x10⁻³, which is expressed in standard form as 1.8x10⁻².
Step-by-step explanation:
To work out (6x10²) x (3x10⁻⁵) and give the answer in standard form, we follow the rules of multiplying numbers in scientific notation. To multiply two numbers in scientific notation, you multiply the base numbers and add the exponents of the powers of 10.
The multiplication of the base numbers: 6 x 3 = 18.
The addition of the exponents: 10² x 10⁻⁵ is the same as 10²+(-5) which simplifies to 10⁻³.
Therefore, (6x10²) x (3x10⁻⁵) equals 18x10⁻³. To express this in standard form, which means having one non-zero digit to the left of the decimal point, we move the decimal one place to the left which also means decreasing the exponent by one. So, the answer in standard form is 1.8x10⁻².