Question

Find the value of 30 power 0.2

Answer 1

Answer:

//4675/377&4//789//688955

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Answer 2

The value of 30 power 0.2 = 1.9743

Step-by-step explanation:

• We need to find the value of 30 to the power 0.2
• Now, 30 to the power 0.2 can be re-written as 30 to the power $\frac{2}{10}$.
• Now, 30 to the power $\frac{2}{10}$ = $30^{2}$ to the power $\frac{1}{10}$ .
• Now, $30^{2}$ to the $\frac{1}{10}$ = $(30*30)$ to the power $\frac{1}{10}$.
• $(30*30)$ to the power $\frac{1}{10}$ = 900 to the power $\frac{1}{10}$.
• Now, 900 to the power $\frac{1}{10}$= 900 to the power $\frac{1}{2*5}$
• Now, 900 to the power $\frac{1}{2*5}$ = $900^{\frac{1}{2} }$ to the power $\frac{1}{5}$
• Now, $900^{\frac{1}{2} }$ to the power $\frac{1}{5}$  =  $(30*30)^{\frac{1}{2} }$ to the power $\frac{1}{5}$
• Now, $(30*30)^{\frac{1}{2} }$ to the power $\frac{1}{5}$ = $30$ to the power $\frac{1}{5}$
• Now,  $30$ to the power $\frac{1}{5}$ = 1.97435 which can be rounded off to 1.9743 correct to four decimal places.

Hence,  the value of 30 power 0.2 = 1.9743

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