100^a x 1000^b can be written in the form 10^w Show that w = 2a + 3b

Mathematics

1 answer:

Elena L [17]3 years ago

3 0

$100^a \time 1000^b = 10^{2a} \times 10^{3b} = 10^{2a + 3b}$

$10^{w} = 10^{2a + 3b}$

$w = 2a + 3b \text { (shown)}$

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