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vivado [14]
3 years ago
11

What is the simplified value of the exponential expression 27}? оооо 3 9 1/3 1/9

Mathematics
1 answer:
iVinArrow [24]3 years ago
4 0

<em>Note: Your exponential expression seems a little unclear. Because 27 is not an exponential expression.</em>

<em>But, I am assuming that your exponential expression is: </em>

  • \:27^{\frac{1}{3}}

<em>The reason is that my solution would still clear your concept about this topic, no matter what the question is. </em>

<em> </em>

Answer:

The simplified value of the exponential expression is:

27^{\frac{1}{3}}=3

Step-by-step explanation:

Assuming the exponential expression

\:27^{\frac{1}{3}}

\mathrm{Factor\:the\:number:\:}\:27=3^3

=\left(3^3\right)^{\frac{1}{3}}

\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0

\left(3^3\right)^{\frac{1}{3}}=3^{3\cdot \frac{1}{3}}

=3^{3\cdot \frac{1}{3}}

=3^1

\mathrm{Apply\:exponent\:rule}:\quad \:a^1=a

=3

Therefore, the simplified value of the exponential expression is:

27^{\frac{1}{3}}=3

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