8. Use letters a-d as examples. Complete letters e-h. Leave your answer In scientific notation: $$ \begin{array}{ll} ext { a. }\left(3 imes 10^{4} ight)\left(5 imes 10^{8} ight)=15 imes 10^{12} & ext { e. }\left(4 imes 10^{5} ight)\left(6 imes 10^{9} ight)= \ ext { b. }\left(1.3 imes 10^{7} ight)\left(4.5 imes 10^{-3} ight)=5.85 imes 10^{4} & ext { f. }\left(2.5 imes 10^{9} ight)\left(1.9 imes 10^{-6} ight)= \ ext { c. }\left(5.2 imes 10^{4} ight)\left(6.7 imes 10^{-8} ight)=34.84 imes 10^{-4} & ext { g. }\left(7.2 imes 10^{3} ight)\left(3.7 imes 10^{-5} ight)= \ ext { d. }\left(8.1 imes 10^{-2} ight)\left(9.7 imes 10^{-9} ight)=78.57 imes 10^{-11} & ext { h. }\left(3.4 imes 10^{-7} ight)\left(7.9 imes 10^{-6} ight)\end{array} $$

Question

8. Use letters a-d as examples. Complete letters e-h. Leave your answer In scientific notation: $$ \begin{array}{ll}	ext { a. }\left(3 	imes 10^{4}ight)\left(5 	imes 10^{8}ight)=15 	imes 10^{12} & 	ext { e. }\left(4 	imes 10^{5}ight)\left(6 	imes 10^{9}ight)= \ 	ext { b. }\left(1.3 	imes 10^{7}ight)\left(4.5 	imes 10^{-3}ight)=5.85 	imes 10^{4} & 	ext { f. }\left(2.5 	imes 10^{9}ight)\left(1.9 	imes 10^{-6}ight)= \ 	ext { c. }\left(5.2 	imes 10^{4}ight)\left(6.7 	imes 10^{-8}ight)=34.84 	imes 10^{-4} & 	ext { g. }\left(7.2 	imes 10^{3}ight)\left(3.7 	imes 10^{-5}ight)= \ 	ext { d. }\left(8.1 	imes 10^{-2}ight)\left(9.7 	imes 10^{-9}ight)=78.57 	imes 10^{-11} & 	ext { h. }\left(3.4 	imes 10^{-7}ight)\left(7.9 	imes 10^{-6}ight)\end{array} $$

UpStudy AI · Accepted Answer

To complete the given examples, we will follow the rules of multiplying numbers in scientific notation.

Given:
a. $$ (3 	imes 10^{4})(5 	imes 10^{8}) = 15 	imes 10^{12} $$
b. $$ (1.3 	imes 10^{7})(4.5 	imes 10^{-3}) = 5.85 	imes 10^{4} $$
c. $$ (5.2 	imes 10^{4})(6.7 	imes 10^{-8}) = 34.84 	imes 10^{-4} $$
d. $$ (8.1 	imes 10^{-2})(9.7 	imes 10^{-9}) = 78.57 	imes 10^{-11} $$

Now, let's calculate the missing examples e, f, g, and h:

e. $$ (4 	imes 10^{5})(6 	imes 10^{9}) $$
f. $$ (2.5 	imes 10^{9})(1.9 	imes 10^{-6}) $$
g. $$ (7.2 	imes 10^{3})(3.7 	imes 10^{-5}) $$
h. $$ (3.4 	imes 10^{-7})(7.9 	imes 10^{-6}) $$

Let's calculate each of these examples step by step.
Calculate the value by following steps:
- step0: Calculate:
  $$4	imes 10^{5}	imes 6	imes 10^{9}$$
- step1: Multiply the numbers:
  $$24	imes 10^{5}	imes 10^{9}$$
- step2: Multiply:
  $$24	imes 10^{14}$$
- step3: Rewrite the number:
  $$2.4	imes 10^{15}$$
Calculate or simplify the expression $$ (2.5*10^9)*(1.9*10^{-6}) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(2.5	imes 10^{9}ight)\left(1.9	imes 10^{-6}ight)$$
- step1: Evaluate:
  $$2.5	imes 10^{9}	imes 1.9	imes 10^{-6}$$
- step2: Multiply the numbers:
  $$4.75	imes 10^{9}	imes 10^{-6}$$
- step3: Multiply:
  $$4.75	imes 10^{3}$$
Calculate or simplify the expression $$ (7.2*10^3)*(3.7*10^{-5}) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(7.2	imes 10^{3}ight)\left(3.7	imes 10^{-5}ight)$$
- step1: Evaluate:
  $$7.2	imes 10^{3}	imes 3.7	imes 10^{-5}$$
- step2: Multiply the numbers:
  $$26.64	imes 10^{3}	imes 10^{-5}$$
- step3: Multiply:
  $$26.64	imes 10^{-2}$$
- step4: Rewrite the number:
  $$2.664	imes 10^{-1}$$
Calculate or simplify the expression $$ (3.4*10^{-7})*(7.9*10^{-6}) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(3.4	imes 10^{-7}ight)\left(7.9	imes 10^{-6}ight)$$
- step1: Evaluate:
  $$3.4	imes 10^{-7}	imes 7.9	imes 10^{-6}$$
- step2: Multiply the numbers:
  $$26.86	imes 10^{-7}	imes 10^{-6}$$
- step3: Multiply:
  $$26.86	imes 10^{-13}$$
- step4: Rewrite the number:
  $$2.686	imes 10^{-12}$$
The results for the missing examples are:

e. $$ (4 	imes 10^{5})(6 	imes 10^{9}) = 2.4 	imes 10^{15} $$
f. $$ (2.5 	imes 10^{9})(1.9 	imes 10^{-6}) = 4.75 	imes 10^{3} $$
g. $$ (7.2 	imes 10^{3})(3.7 	imes 10^{-5}) = 2.664 	imes 10^{-1} $$
h. $$ (3.4 	imes 10^{-7})(7.9 	imes 10^{-6}) = 2.686 	imes 10^{-12} $$
e. $$ 2.4 	imes 10^{15} $$ f. $$ 4.75 	imes 10^{3} $$ g. $$ 2.664 	imes 10^{-1} $$ h. $$ 2.686 	imes 10^{-12} $$

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