Question

Multiply 2.5 x 10^10 by 3.5 x 10^-7

Answer 1

`=8750x^2\\`

Explanation:

`\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^(b+c)\\=2.5x\cdot \:3.5x\cdot \:10^(10-7)`

...

`\mathrm{Multiply\:the\:numbers:}\:2.5\cdot \:3.5=8.75\\=10^3\cdot \:8.75x^2`

`\mathrm{Multiply\:the\:numbers:}\:8.75\cdot \:1000=8750\[`

=8750x^2