Question

Write each of the following in the product form :-

$18x^9{y}^8{z}^6$

Answer 1

In the product form. we break up a number and write it in the multiplication or product form by putting multiplication sign $\text{'}\times \text{'}$

So, product form of $18x^9{y}^8{z}^6=18\times \left(x\times x\times x\times x\times x\times x\times x\times x\times x\right)\times \left(y\times y\times y\times y\times y\times y\times y\times y\right)\times \left(z\times z\times z\times z\times z\times z\right)$

$=18\times x\times x\times x\times x\times x\times x\times x\times x\times x\times y\times y\times y\times y\times y\times y\times y\times y\times z\times z\times z\times z\times z\times z.$

As here power of $x$ is $9$, power of $y$ is $8$ and power of $z$ is $6.$

Hence, the product form of $18x^9{y}^8{z}^6$ is $18\times x\times x\times x\times x\times x\times x\times x\times x\times x\times y\times y\times y\times y\times y\times y\times y\times y\times z\times z\times z\times z\times z\times z.$