Answer: [tex]b^7*c^3[/tex]
Step-by-step explanation:
Based on the information provided, you know that the dimensions of the water tank John buys are:
[tex]b^2*b^4*bc^3[/tex]
Then, in order to find the expression that represents the volume of the water tank, you need to multiply those dimensions.
You must remember the Product of powers property, which states that:
[tex](a^m)(a^n)=a^{(m+n)}[/tex]
Therefore, applying this property, you get that the expression that represents the volume of the water tank is:
[tex]b^2*b^4*bc^3=b^{(2+4+1)}+c^3=b^7*c^3[/tex]
