Question

John buys a water tank from a company that likes to use exponents as dimensions. The tank he buys has the dimensions b^2 by b^4 by bc^3. Which of the following expressions represent the volume of the water tank? A.4b^8c^3 B. 4b^6c^3 C. 12b^8c^3 D. 2b^6c^3

Answer 1

Answer: $b^7*c^3$

Step-by-step explanation:

Based on the information provided, you know that the dimensions of the water tank John buys are:

$b^2*b^4*bc^3$

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:

$(a^m)(a^n)=a^{(m+n)}$

Therefore, applying this property, you get that the expression that represents the volume of the water tank is:

$b^2*b^4*bc^3=b^{(2+4+1)}+c^3=b^7*c^3$