Question

Express in exponential form: 512​

Answer 1

Answer:

$512 = 8 \times 8 \times 8 = {8}^{3}$

Answer 2

$\\\;\underbrace{\underline{\sf{Understanding\;the\;Concept}}}$

Exponential means to become more and more rapid in growth. However, in mathematics, it represents a mathematical expression that has one or more exponents. Hence, we know it as an exponential form.

Let's do it !!

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★ Formula To Be Used :-

$(x) = bx, where\; b > 0\; and\; b \neq 1$

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★ Solution :-

We can express 512 as

Resolving 512 into product of prime factors, we get

2| 512

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2| 256

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2| 128

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2| 64

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2| 32

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2| 16

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2| 8

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2| 4

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** 2

512 = 2×2×2×2×2×2×2×2×2

$\therefore\\\mathfrak{Exponential \;form \;of \;512=2^{9}}$

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