Question

Multiply (5 × 10^4)(7 × 10^3), express in scientific notation.

Answer 1

350,000,000

Explanation:

(50,000)(7,000)

350,000,000

Hope this helps you.

Answer 2

How to get answer by Mimiwhatsup:

`\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=5\cdot \:10^4\cdot \:7\cdot \:10^3\\\mathrm{Factor\:integer\:}10=2\cdot \:5\\=5\left(2\cdot \:5\right)^4\cdot \:7\cdot \:10^3\\\mathrm{Apply\:exponent\:rule}:\quad \left(ab\right)^c=a^cb^c\\\left(2\cdot \:5\right)^4=2^4\cdot \:5^4\\=5\cdot \:2^4\cdot \:5^4\cdot \:7\cdot \:10^3\\\mathrm{Factor\:integer\:}10=2\cdot \:5\\=5\cdot \:2^4\cdot \:5^4\cdot \:7\left(2\cdot \:5\right)^3\\\mathrm{Apply\:exponent\:rule}:\quad \left(ab\right)^c=a^cb^c\\`

`\left(2\cdot \:5\right)^3=2^3\cdot \:5^3\\=5\cdot \:2^4\cdot \:5^4\cdot \:7\cdot \:2^3\cdot \:5^3\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^(b+c)\\2^4\cdot \:2^3=\:2^(4+3)=\:2^7\\=2^7\cdot \:5^4\cdot \:5^3\cdot \:5\cdot \:7\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^(b+c)\\5^4\cdot \:5^3\cdot \:5=\:5^(1+4+3)=\:5^8\\=5^8\cdot \:2^7\cdot \:7\\=5^8\cdot \:2^7\cdot \:7\\=5^8\cdot \:7\cdot \:128\\5^8=390625\\`

`\mathrm{Multiply\:the\:numbers:}\:7\cdot \:128\cdot \:390625=350000000`

Answer in Scientific Form and how to get it: Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

`3.5 * 10^8`