Question

(7 × 10^6) × (6 × 10^-4)
How can I simplify this? I don't want the answer, I would appreciate the steps for future reference :]

Answer 1

you can rearrange the numbers using the properties of multiplication.
for example \((a \times b)*(c \times d)=(a \times c)*(b \times d)\)

if you want steps, youtube or google "multiplying scientific notation"

Answer 2

also recall when multiplying exponents with a common base, you just add the powers

Answer 3

is it 13x10^2?

Answer 4

the 6 and 7 are still being multiplied like they normally would be

Answer 5

i added the bases ( 7+6) to get 13

Answer 6

when I said add the powers I meant the powers. For example, \(3^6*3^4=3^{6+4}=3^{10}\)

Answer 7

so \((7*6)(10^6*10^{-4})\)

Answer 8

I have options:
4.2x10^3
4.2x10^1
13x10^2
4.1x10^4

Answer 9

but i know but a fact that 7 times 6 is 42
so 4.2?

Answer 10

you already simplified the rightmost parentheses \(\large (7 * 6)*10^2\)

Answer 11

yeah but we have to adjust the exponent

Answer 12

\(\huge 42*10^2=4.2*10^?\)

Answer 13

2?

Answer 14

im sort of lost sorry

Answer 15

yeah, this is the part I kinda suck at explaining, which is why I suggested youtube

As I understand it, we're moving the decimal point once to the left, so we need to account for it by multiplying the other side with a 10

and \(10^2*10=10^{(2+1)}=10^3\)

Answer 16

if you want, in this case you can just simplify the numbers.

rofl it's so hard doing this on a laptop