Question

The value of (1/512)1/9 is

Answer 1

Answer:

The value of (1/512)^1/9 a) 1/2 b) 1/3 c) 1/4 d) 1/6. ... The value of (1 512)^1 9. Home / Green Board /

Answer 2

Answer:

$\frac{1}{2}$ is the required value.

Step-by-step explanation:

Explanation:

Given in the question that, $(\frac{1}{512} )^{\frac{1}{9} }$

But 512 can be written as , $2^9$

• $(a^m)^n$= $a^{mn}$ is the power rule for exponents. Multiply the exponent by the power to raise a number with an exponent to that power.

Now, $(\frac{1}{512} )^{\frac{1}{9} }$ can be written as

⇒ $(\frac{1}{2^9} )^{\frac{1}{9} }$ = $\frac{(1)^{\frac{1}{9} }}{(2^9)^{\frac{1}{9} }}$

As we know that the power rule of exponent $(a^m)^n$ = $a^{mn}$

= $\frac{1}{2^{9 . \frac{1}{9} }}$ = $\frac{1}{2}$

Final answer:

Hence, $\frac{1}{2}$ is the required value.

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