Question

(4.27 * 10^8)*(9.2 * 10^-5)
Id like this answered as soon as possible!

Answer 1

We can multiply the whole numbers together, and then the terms with exponents together:

$\sf (4.27\cdot 10^8)\cdot (9.2\cdot 10^{-5})$

$\sf 4.27\cdot 9.2=39.284$

Use the exponent rule:

$\sf x^a\cdot x^b\rightarrow x^{a+b}$

Which is, if you're multiplying exponents with the same base, you just add the exponents together and keep the base:

$\sf 10^8\cdot 10^{-5}\rightarrow 10^{8+(-5)}\rightarrow 10^3$

So we have:

$\sf 39.284\cdot 10^3=39284$