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`