Question

express 729 as a power of 3

Answer 1

Heya Frnd. .......☺

We know that
$\sqrt[3]{729} = 9$

Now,

9 is the square of 3.

Therefore,

729
= 9^3
= (3^2)^3

Now, we know that
$< {x}^{y} > ^{z} = {x}^{y \times z}$

So,

(3^2)^3

=> 3^(2×3)

=> 3^6......... (Ans)

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Answer 2

Answer: $3^6$

Step-by-step explanation:

To express 729 as power of 3.

We know that 729 is the cube of 9.

Thus $729=9\times9\times9=9^3$

Since, we know that 9 is the square of 3 such that $3^2=9$.

$\Rightarrow729=(3^2)^3$

The law of exponent says that $(a^m)^n=a^{mn}$

Therefore, $729=3^{2\times3}$

$\Rightarrow729=3^6$