write the final answer in scientific notation
!SHOW WORK!
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Answer:
[tex]2.25 \times 1 {0}^{ - 2} [/tex]
Step-by-step explanation:
[tex] \frac{9 \times 1 {0}^{5} }{4 \times 1 {0}^{7} } [/tex]
First, we use the rule that
[tex] \frac{ {x}^{y} }{ {x}^{z} } = \frac{ 1}{ {x}^{z - y} } [/tex]
Hence, we get:
[tex] \frac{9}{4 \times 1 {0}^{7 - 5} } [/tex]
[tex] \frac{9}{4 \times 1 {0}^{2} } [/tex]
[tex] \frac{9}{4 \times 100} [/tex]
[tex] \frac{9}{400} [/tex]
which is 0.0225.
Hence, in scientific notation, it is
[tex]2.25 \times 1 {0}^{ - 2} [/tex]