Question

What is the product of (x2)3 and x4 ?

Answer 1

Answer:

the answer is x24. work is show in the drawing .

Answer 2

ANSWER:  

The product of given two terms $\left(x^{2}\right)^{3} \text { and } x^{4} \text { is } x^{10}$

SOLUTION:

Given, two terms are $\left(x^{2}\right)^{3} \text { and } x^{4}$

First term is in indirect form, so let us convert it into direct form first.

we know the identity $\left(a^{m}\right)^{n}=a^{m \times n}$

applying this identity in above expression, $\left(x^{2}\right)^{3}=x^{2 \times 3}$becomes,

$\left(x^{2}\right)^{3}=x^{6}$

As the the second term is in direct form, we can now multiply both the terms.

Now, product of two terms = $x^{6} \times x^{4}$

we know the identity $a^{m} \times a^{n}=a^{m+n}$

when exponential terms with same base are multiplied, power should be added. So we get $X^{6+4}$

$X^{6+4}=X^{10}$

Hence the product of two terms $\left(x^{2}\right)^{3} \text { and } x^{4} \text { is } x^{10}$