Question

Express the exponential form of 64\144
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Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Given:

64\144

To Find:

Express in Exponential form

Solution:

Exponent is a technique to express big numbers in power form, it is the representation of how many times is a number in itself.

There are different laws we take into consideration while dealing with exponents that are,

$a^m*a^n=a^{m+n}\\\frac{a^m}{a^n} =a^{m-n}$

So first breaking the given numbers in exponents of the smallest number possible,

$=\frac{64}{144} \\\\=(\frac{8}{12})^2\\\\=(\frac{2}{3})^2 \\\\=2^2*3^{-2}$

First, we took the squares of eight and twelve then divided them with four to get 2/3, then expressed 2 as the power of 2 and 3 as a negative power of 2 because it was on the denominator side.

Hence, the exponential form of 64/144 is 2^2*3^-2.