Question

Which choice is equivalent to the expression below? 2^6.38​

Answer 1

Answer:

B) 2^6+2^3/10+2^8/100

Step-by-step explanation:

Because of the fact that .38 is equal to 3/10 + 8/100, we can infer that an exponent would work the same way. Hope this helps!

Answer 2

The expression $\rm 2^{6}\times 2^{\dfrac{3}{10}} \times 2^{\dfrac{8}{100}}$ of Option D is equivalent to that of the given.

What is meant by an expression ?

An expression is a mathematical statement which is a combination of variables , constant and various mathematical operators like + , - , *  etc. All can be used simultaneously in an expression.

In this given expression

$\rm 2^{6.38}$

The exponent can be also written as

6.38 = 6 +0.30+0.08

$\rm 6.38 = 6 +\dfrac{3}{10} +\dfrac{8}{100}$

$\rm 2^{ 6.38 } = 2^{ 6 +\dfrac{3}{10} +\dfrac{8}{100}}}$

From the exponent theorem it can be written like

$\rm 2^{6}\times 2^{\dfrac{3}{10}} \times 2^{\dfrac{8}{100}}$

Therefore the equivalent expression is similar to Option D

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