How do you simplify $(3.2 times 10^5)(4.7 times 10^4)$ ?

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Answer 1 · 2018-08-01T02:52:27

$1.504*10^10$

We can essentially multiply the corresponding parts. We can rewrite this as

$color(steelblue)(3.2*4.7)*color(purple)(10^5*10^4)$

Since we have two base- $10$ terms, we can add the exponents. Thus, this simplifies to

$color(steelblue)(15.04)*color(purple)(10^9)$

To get this in the more traditional scientific notation, we can loop the decimal once to the left. This increases the exponent by $1$ .

We now have

$1.504*10^10$

Hope this helps!

How do you simplify (3.2 times 10^5)(4.7 times 10^4)(3.2 times 10^5)(4.7 times 10^4)?