Question

I need help if you can that would be great thank you

Answer 1

Answer:

Simplifying the expression $(3\:.\:2)^5\div (3^2\:.\:2^3)$ so, there is only one power of each base we get $\mathbf{3^3\:.\:2^2}$

Option D is correct answer.

Step-by-step explanation:

We need to simply the expression $(3\:.\:2)^5\div (3^2\:.\:2^3)$ so, there is only one power of each base.

Solving:

$(3\:.\:2)^5\div (3^2\:.\:2^3)$

We can write it as:

$\frac{(3\:.\:2)^5}{3^2.2^3}$

Now using exponent rule: $(a\:.\:b)^m=a^m\:.\:b^n$

$\frac{3^5\:.\:2^5}{3^2.2^3}$

Now using the exponent rule: $\frac{a^m}{a^n}=a^{m-n}$ the bases should be same

$3^{5-2}\:.\:2^{5-3}\\=3^3\:.\:2^2$

So, simplifying the expression $(3\:.\:2)^5\div (3^2\:.\:2^3)$ so, there is only one power of each base we get $\mathbf{3^3\:.\:2^2}$

Option D is correct answer.