Question

express the product of 4.0 x 10^-2 m and 8.1 x 10^2 m using the correct number of significant digits

Answer 1

Answer:

The product of two expressions is 32.40

Step-by-step explanation:

Two numbers given are $4\times10^{-2m}$ and$8.1\times10^{2m}$

and we have to express the multiplications of these two numbers.

In this question we will multiply the numbers and add the powers of 10s.

So multiplication gives us $4\times10^{-2m}\times8.1\times10^{2m}$

$=32.4\times10^{-2m+2m}$

$= 32.40$

So we can express the product as 32.40

Answer 2

Answer:

32 (two significant figures)

Step-by-step explanation:

We are given these two numbers written in scientific notations and we are to find their product, using the correct number of significant digits:

4.0 x 10^-2m and 8.1 x 10^2 m

Here, the exponents will cancel each other as one is negative and the other one is positive so we will be left with:

4.0 x 8.1 = 32.4

To two significant figures, it will be 32.