Question

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

Answer 1

Note: Your exponential expression seems a little unclear. Because 27 is not an exponential expression.

But, I am assuming that your exponential expression is:

• $\:27^{\frac{1}{3}}$

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

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:

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