Question

How do you multiply $(4x{10^3})(2x{10^4})$ ?

Answer 1

Hint: The exponent of a number says how many times to use that number in a multiplication. It is written as a small number to the right and above the base number.

Complete step-by-step answer:
Assuming that the solution is required in the same format,
$(4x{10^3})(2x{10^4})$
Multiply the numbers to the left of the brackets,
$ = \,8(x{10^3})(x{10^4})$
Multiply the variables,
$ = \,8{x^2}({10^3})({10^4})$
Adding the powers of the exponents, we get,
$ = \,8{x^2}{10^7}$
So, the correct answer is “$8{x^2}{10^7}$”.

Note: Remember to simply add the exponents for numbers with the same base but different exponents. The solution given above is in the exponential format, if we plug in the value of ${10^7}$ , the solution will be $80000000{x^2}$.