Question

HURRY PLZ

Answer 1

Answer:

1) $(2.37\times10^{-4})(4.1\times 10^7)=9717$

2) $(3.5\times10^{-6})(2.41\times 10^{12})=8435$                  

Step-by-step explanation:

1) Given : Expression $(2.37\times10^{-4})(4.1\times 10^7)$

To find : Multiply the expression ?

Solution :

Step 1 - Write the expression,

$(2.37\times10^{-4})(4.1\times 10^7)$

Step 2 - Group the numerical factors together,

$=(2.37\times 4.1)(10^{-4}\times 10^7)$

Step 3 - Using exponent rule, $10^a+10^b=10^{a+b}$

$=9.717\times 10^{-4+7}$

$=9.717\times 10^{3}$

Step 4 - Remove decimal,

$=\frac{9717}{1000}\times 1000$

$=9717$

Therefore, $(2.37\times10^{-4})(4.1\times 10^7)=9717$

2) Given : Expression $(3.5\times10^{-6})(2.41\times 10^{12})$

To find : Multiply the expression ?

Solution :

Step 1 - Write the expression,

$(3.5\times10^{-6})(2.41\times 10^{12})$

Step 2 - Group the numerical factors together,

$(3.5\times 2.41)(10^{-6}\times 10^{12})$

Step 3 - Using exponent rule, $10^a+10^b=10^{a+b}$

$=8.435\times 10^{-6+12}$

$=8.435\times 10^{6}$

Step 4 - Remove decimal,

$=\frac{8435}{1000}\times 1000$

$=8435$

Therefore, $(3.5\times10^{-6})(2.41\times 10^{12})=8435$